vfdev-5: @sdesrozis I'm not a fan of introducing another public method for that.
Idea of returning `RemovableEventHandler` is that it can be used as a context manager to remove attached handlers on exit of the context manager. I think we need to keep single method `add_event_handler` and return something such that it could be used as `RemovableEventHandler`... What do you think ?
sdesrozis: Now `add_event_handler` returns `RemovableEventHandler` compatible with `EventsList`.

TODO doc
vfdev-5: Sorry, my bad, the name should remain as previously as `RemovableEventHandle` and not `RemovableEventHandLER`.
Yes, now, it looks good for me. Please, add a test with `RemovableEventHandle` for event list.
sdesrozis: Last missing point is 
* README.md in "Power of Events & Handlers"
sdesrozis: @vfdev-5 you can comment :)
vfdev-5: @sdesrozis looks good to me. For perfect fit, I would put added section just after "Built-in events filtering"...
vfdev-5: Let me fix coverage relative decrease: https://codecov.io/gh/pytorch/ignite/pull/868/diff#diff-aWduaXRlL2VuZ2luZS9ldmVudHMucHk=
- https://codecov.io/gh/pytorch/ignite/pull/868/diff#D6-218
- https://codecov.io/gh/pytorch/ignite/pull/868/diff#D6-336
diff --git a/README.md b/README.md
index 917e48cf..4e4833f2 100644
--- a/README.md
+++ b/README.md
@@ -169,6 +169,22 @@ def log_gradients(_):
 
 </details>
 
+### Stack events to share some actions
+
+<details>
+<summary>
+Examples
+</summary>
+
+Events can be stacked together to enable multiple calls:
+```python
+@trainer.on(Events.COMPLETED | Events.EPOCH_COMPLETED(every=10))
+def do_some_validation(engine):
+    # ...
+```
+
+</details>
+
 ### Custom events to go beyond standard events
 
 <details>
diff --git a/docs/source/concepts.rst b/docs/source/concepts.rst
index 25c76006..0ef4a53e 100644
--- a/docs/source/concepts.rst
+++ b/docs/source/concepts.rst
@@ -107,7 +107,7 @@ Attaching an event handler is simple using method :meth:`~ignite.engine.Engine.a
 
     trainer.add_event_handler(Events.COMPLETED, on_training_ended, mydata)
 
-Event handlers can be detached via :meth:`~ignite.engine.Engine.remove_event_handler` or via the :class:`~ignite.engine.RemovableEventHandler`
+Event handlers can be detached via :meth:`~ignite.engine.Engine.remove_event_handler` or via the :class:`~ignite.engine.RemovableEventHandle`
 reference returned by :meth:`~ignite.engine.Engine.add_event_handler`. This can be used to reuse a configured engine for multiple loops:
 
 .. code-block:: python
diff --git a/ignite/engine/engine.py b/ignite/engine/engine.py
index 9bd5d408..2707546e 100644
--- a/ignite/engine/engine.py
+++ b/ignite/engine/engine.py
@@ -9,7 +9,7 @@ from typing import Union, Optional, Callable, Iterable, Iterator, Any, Tuple
 
 import torch
 
-from ignite.engine.events import Events, State, CallableEventWithFilter, RemovableEventHandle
+from ignite.engine.events import Events, State, CallableEventWithFilter, RemovableEventHandle, EventsList
 from ignite.engine.utils import ReproducibleBatchSampler, _update_dataloader, _check_signature
 from ignite._utils import _to_hours_mins_secs
 
@@ -157,7 +157,7 @@ class Engine:
 
         .. code-block:: python
 
-            from ignite.engine import Engine, EvenEnum
+            from ignite.engine import Engine, EventEnum
 
             class CustomEvents(EventEnum):
                 FOO_EVENT = "foo_event"
@@ -211,8 +211,9 @@ class Engine:
         """Add an event handler to be executed when the specified event is fired.
 
         Args:
-            event_name: An event to attach the handler to. Valid events are from :class:`~ignite.engine.Events`
-                or any `event_name` added by :meth:`~ignite.engine.Engine.register_events`.
+            event_name: An event or a list of events to attach the handler. Valid events are
+                from :class:`~ignite.engine.Events` or any `event_name` added by
+                :meth:`~ignite.engine.Engine.register_events`.
             handler (callable): the callable event handler that should be invoked
             *args: optional args to be passed to `handler`.
             **kwargs: optional keyword args to be passed to `handler`.
@@ -225,7 +226,7 @@ class Engine:
             passed here, for example during :attr:`~ignite.engine.Events.EXCEPTION_RAISED`.
 
         Returns:
-            :class:`~ignite.engine.RemovableEventHandler`, which can be used to remove the handler.
+            :class:`~ignite.engine.RemovableEventHandle`, which can be used to remove the handler.
 
         Example usage:
 
@@ -238,12 +239,22 @@ class Engine:
 
             engine.add_event_handler(Events.EPOCH_COMPLETED, print_epoch)
 
+            events_list = Events.EPOCH_COMPLETED | Events.COMPLETED
+
+            def execute_validation(engine):
+                # do some validations
+
+            engine.add_event_handler(events_list, execute_validation)
 
         Note:
             Since v0.3.0, Events become more flexible and allow to pass an event filter to the Engine.
             See :class:`~ignite.engine.Events` for more details.
 
         """
+        if isinstance(event_name, EventsList):
+            for e in event_name:
+                self.add_event_handler(e, handler, *args, **kwargs)
+            return RemovableEventHandle(event_name, handler, self)
         if (
             isinstance(event_name, CallableEventWithFilter)
             and event_name.filter != CallableEventWithFilter.default_event_filter
diff --git a/ignite/engine/events.py b/ignite/engine/events.py
index 25ba6a91..e0f154bc 100644
--- a/ignite/engine/events.py
+++ b/ignite/engine/events.py
@@ -127,6 +127,9 @@ class CallableEventWithFilter:
     def __hash__(self):
         return hash(self._name_)
 
+    def __or__(self, other):
+        return EventsList() | self | other
+
 
 class EventEnum(CallableEventWithFilter, Enum):
     pass
@@ -179,6 +182,55 @@ class Events(EventEnum):
     GET_BATCH_STARTED = "get_batch_started"
     GET_BATCH_COMPLETED = "get_batch_completed"
 
+    def __or__(self, other):
+        return EventsList() | self | other
+
+
+class EventsList:
+    """Collection of events stacked by operator `__or__`.
+
+    .. code-block:: python
+
+        events = Events.STARTED | Events.COMPLETED
+        events |= Events.ITERATION_STARTED(every=3)
+
+        engine = ...
+
+        @engine.on(events)
+        def call_on_events(engine):
+            # do something
+
+    or
+
+     .. code-block:: python
+
+        @engine.on(Events.STARTED | Events.COMPLETED | Events.ITERATION_STARTED(every=3))
+        def call_on_events(engine):
+            # do something
+
+    """
+
+    def __init__(self):
+        self._events = []
+
+    def _append(self, event: Union[Events, CallableEventWithFilter]):
+        if not isinstance(event, (Events, CallableEventWithFilter)):
+            raise ValueError("Argument event should be Events or CallableEventWithFilter, got: {}".format(type(event)))
+        self._events.append(event)
+
+    def __getitem__(self, item):
+        return self._events[item]
+
+    def __iter__(self):
+        return iter(self._events)
+
+    def __len__(self):
+        return len(self._events)
+
+    def __or__(self, other: Union[Events, CallableEventWithFilter]):
+        self._append(event=other)
+        return self
+
 
 class State:
     """An object that is used to pass internal and user-defined state between event handlers. By default, state
@@ -270,7 +322,7 @@ class RemovableEventHandle:
         # print_epoch handler is now unregistered
     """
 
-    def __init__(self, event_name: Union[CallableEventWithFilter, Enum], handler: Callable, engine):
+    def __init__(self, event_name: Union[CallableEventWithFilter, Enum, EventsList], handler: Callable, engine):
         self.event_name = event_name
         self.handler = weakref.ref(handler)
         self.engine = weakref.ref(engine)
@@ -283,8 +335,13 @@ class RemovableEventHandle:
         if handler is None or engine is None:
             return
 
-        if engine.has_event_handler(handler, self.event_name):
-            engine.remove_event_handler(handler, self.event_name)
+        if isinstance(self.event_name, EventsList):
+            for e in self.event_name:
+                if engine.has_event_handler(handler, e):
+                    engine.remove_event_handler(handler, e)
+        else:
+            if engine.has_event_handler(handler, self.event_name):
+                engine.remove_event_handler(handler, self.event_name)
 
     def __enter__(self):
         return self

Handler Events as flags
Idea is to provide the following flexibility:
```python

@trainer.on(Events.ITERATION_STARTED(once=1) | Events.ITERATION_STARTED(every=10) | Events.COMPLETED)
def execute_some_handler(_):
    pass
```
such that `execute_some_handler` is triggered at the first iteration and at 10th, 20th, ...etc and in the end of the training.



diff --git a/tests/ignite/engine/test_custom_events.py b/tests/ignite/engine/test_custom_events.py
index 6c5b22dd..42098a2c 100644
--- a/tests/ignite/engine/test_custom_events.py
+++ b/tests/ignite/engine/test_custom_events.py
@@ -5,7 +5,7 @@ from unittest.mock import MagicMock
 import torch
 
 from ignite.engine import Engine, Events
-from ignite.engine.events import CallableEventWithFilter, EventEnum
+from ignite.engine.events import CallableEventWithFilter, EventEnum, EventsList
 
 import pytest
 
@@ -75,6 +75,23 @@ def test_custom_events_with_event_to_attr():
         engine.register_events(*CustomEvents, event_to_attr=custom_event_to_attr)
 
 
+def test_custom_events_with_events_list():
+    class CustomEvents(EventEnum):
+        TEST_EVENT = "test_event"
+
+    def process_func(engine, batch):
+        engine.fire_event(CustomEvents.TEST_EVENT)
+
+    engine = Engine(process_func)
+    engine.register_events(*CustomEvents)
+
+    # Handle should be called
+    handle = MagicMock()
+    engine.add_event_handler(CustomEvents.TEST_EVENT | Events.STARTED, handle)
+    engine.run(range(1))
+    assert handle.called
+
+
 def test_callable_events_with_wrong_inputs():
 
     with pytest.raises(ValueError, match=r"Only one of the input arguments should be specified"):
@@ -433,3 +450,42 @@ def test_distrib_gpu(distributed_context_single_node_nccl):
     device = "cuda:{}".format(distributed_context_single_node_nccl["local_rank"])
     _test_every_event_filter_with_engine(device)
     _test_every_event_filter_with_engine_with_dataloader(device)
+
+
+def test_event_list():
+
+    e1 = Events.ITERATION_STARTED(once=1)
+    e2 = Events.ITERATION_STARTED(every=3)
+    e3 = Events.COMPLETED
+
+    event_list = e1 | e2 | e3
+
+    assert type(event_list) == EventsList
+    assert len(event_list) == 3
+    assert event_list[0] == e1
+    assert event_list[1] == e2
+    assert event_list[2] == e3
+
+
+def test_list_of_events():
+    def _test(event_list, true_iterations):
+
+        engine = Engine(lambda e, b: b)
+
+        iterations = []
+
+        num_calls = [0]
+
+        @engine.on(event_list)
+        def execute_some_handler(e):
+            iterations.append(e.state.iteration)
+            num_calls[0] += 1
+
+        engine.run(range(3), max_epochs=5)
+
+        assert iterations == true_iterations
+        assert num_calls[0] == len(true_iterations)
+
+    _test(Events.ITERATION_STARTED(once=1) | Events.ITERATION_STARTED(once=1), [1, 1])
+    _test(Events.ITERATION_STARTED(once=1) | Events.ITERATION_STARTED(once=10), [1, 10])
+    _test(Events.ITERATION_STARTED(once=1) | Events.ITERATION_STARTED(every=3), [1, 3, 6, 9, 12, 15])
diff --git a/tests/ignite/engine/test_event_handlers.py b/tests/ignite/engine/test_event_handlers.py
index bdcf9a21..af98d4cf 100644
--- a/tests/ignite/engine/test_event_handlers.py
+++ b/tests/ignite/engine/test_event_handlers.py
@@ -1,11 +1,12 @@
 import gc
 
-from unittest.mock import MagicMock
+from unittest.mock import call, MagicMock
 
 import pytest
 from pytest import raises
 
 from ignite.engine import Engine, Events, State
+from ignite.engine.events import EventsList
 
 
 class DummyEngine(Engine):
@@ -181,6 +182,114 @@ def test_event_removable_handle():
     assert removable_handle.handler() is None
 
 
+def test_events_list_removable_handle():
+
+    # Removable handle removes event from engine.
+    engine = DummyEngine()
+    handler = MagicMock(spec_set=True)
+    assert not hasattr(handler, "_parent")
+
+    events_list = Events.STARTED | Events.COMPLETED
+
+    removable_handle = engine.add_event_handler(events_list, handler)
+    for e in events_list:
+        assert engine.has_event_handler(handler, e)
+
+    engine.run(1)
+    calls = [call(engine), call(engine)]
+    handler.assert_has_calls(calls)
+    assert handler.call_count == 2
+
+    removable_handle.remove()
+    for e in events_list:
+        assert not engine.has_event_handler(handler, e)
+
+    # Second engine pass does not fire handle again.
+    engine.run(1)
+    handler.assert_has_calls(calls)
+    assert handler.call_count == 2
+
+    # Removable handle can be used as a context manager
+    handler = MagicMock(spec_set=True)
+
+    with engine.add_event_handler(events_list, handler):
+        for e in events_list:
+            assert engine.has_event_handler(handler, e)
+        engine.run(1)
+
+    for e in events_list:
+        assert not engine.has_event_handler(handler, e)
+    handler.assert_has_calls(calls)
+    assert handler.call_count == 2
+
+    engine.run(1)
+    handler.assert_has_calls(calls)
+    assert handler.call_count == 2
+
+    # Removeable handle only effects a single event registration
+    handler = MagicMock(spec_set=True)
+
+    other_events_list = Events.EPOCH_STARTED | Events.EPOCH_COMPLETED
+
+    with engine.add_event_handler(events_list, handler):
+        with engine.add_event_handler(other_events_list, handler):
+            for e in events_list:
+                assert engine.has_event_handler(handler, e)
+            for e in other_events_list:
+                assert engine.has_event_handler(handler, e)
+        for e in events_list:
+            assert engine.has_event_handler(handler, e)
+        for e in other_events_list:
+            assert not engine.has_event_handler(handler, e)
+    for e in events_list:
+        assert not engine.has_event_handler(handler, e)
+    for e in other_events_list:
+        assert not engine.has_event_handler(handler, e)
+
+    # Removeable handle is re-enter and re-exitable
+
+    handler = MagicMock(spec_set=True)
+
+    remove = engine.add_event_handler(events_list, handler)
+
+    with remove:
+        with remove:
+            for e in events_list:
+                assert engine.has_event_handler(handler, e)
+        for e in events_list:
+            assert not engine.has_event_handler(handler, e)
+    for e in events_list:
+        assert not engine.has_event_handler(handler, e)
+
+    # Removeable handle is a weakref, does not keep engine or event alive
+    def _add_in_closure():
+        _engine = DummyEngine()
+
+        def _handler(_):
+            pass
+
+        _handle = _engine.add_event_handler(events_list, _handler)
+        assert _handle.engine() is _engine
+        assert _handle.handler() is _handler
+
+        return _handle
+
+    removable_handle = _add_in_closure()
+
+    # gc.collect, resolving reference cycles in engine/state
+    # required to ensure object deletion in python2
+    gc.collect()
+
+    assert removable_handle.engine() is None
+    assert removable_handle.handler() is None
+
+
+def test_eventslist__append_raises():
+    ev_list = EventsList()
+    with pytest.raises(ValueError, match=r"Argument event should be Events or CallableEventWithFilter"):
+        ev_list._append("abc")
+
+
 def test_has_event_handler():
     engine = DummyEngine()
     handlers = [MagicMock(spec_set=True), MagicMock(spec_set=True)]

pip install -e .
parse_log_pytest
requirements.txt
pytest
apt-get update apt-get install -y gcc pip install torch torchvision -f https://download.pytorch.org/whl/cpu/torch_stable.html -U
3.7
requirements-dev.txt
pytest --no-header -rA --tb=line --color=no -p no:cacheprovider -W ignore::DeprecationWarning
certifi @ file:///croot/certifi_1671487769961/work/certifi
charset-normalizer==3.4.1
exceptiongroup==1.2.2
idna==3.10
importlib-metadata==6.7.0
iniconfig==2.0.0
numpy==1.21.6
packaging==24.0
Pillow==9.5.0
pluggy==1.2.0
pytest==7.4.4
-e git+https://github.com/pytorch/ignite.git@10135a9e08502c0974023de7e2a30355001fa025#egg=pytorch_ignite
requests==2.31.0
tomli==2.0.1
torch==1.13.1+cpu
torchvision==0.14.1+cpu
typing_extensions==4.7.1
urllib3==2.0.7
zipp==3.15.0

name: ignite
channels:
  - defaults
  - https://repo.anaconda.com/pkgs/main
  - https://repo.anaconda.com/pkgs/r
  - conda-forge
dependencies:
  - _libgcc_mutex=0.1=main
  - _openmp_mutex=5.1=1_gnu
  - ca-certificates=2025.2.25=h06a4308_0
  - certifi=2022.12.7=py37h06a4308_0
  - ld_impl_linux-64=2.40=h12ee557_0
  - libffi=3.4.4=h6a678d5_1
  - libgcc-ng=11.2.0=h1234567_1
  - libgomp=11.2.0=h1234567_1
  - libstdcxx-ng=11.2.0=h1234567_1
  - ncurses=6.4=h6a678d5_0
  - openssl=1.1.1w=h7f8727e_0
  - pip=22.3.1=py37h06a4308_0
  - python=3.7.16=h7a1cb2a_0
  - readline=8.2=h5eee18b_0
  - setuptools=65.6.3=py37h06a4308_0
  - sqlite=3.45.3=h5eee18b_0
  - tk=8.6.14=h39e8969_0
  - wheel=0.38.4=py37h06a4308_0
  - xz=5.6.4=h5eee18b_1
  - zlib=1.2.13=h5eee18b_1
  - pip:
      - charset-normalizer==3.4.1
      - exceptiongroup==1.2.2
      - idna==3.10
      - importlib-metadata==6.7.0
      - iniconfig==2.0.0
      - numpy==1.21.6
      - packaging==24.0
      - pillow==9.5.0
      - pluggy==1.2.0
      - pytest==7.4.4
      - pytorch-ignite==0.4.0
      - requests==2.31.0
      - tomli==2.0.1
      - torch==1.13.1+cpu
      - torchvision==0.14.1+cpu
      - typing-extensions==4.7.1
      - urllib3==2.0.7
      - zipp==3.15.0
prefix: /opt/conda/envs/ignite

tests/ignite/engine/test_custom_events.py::test_custom_events tests/ignite/engine/test_custom_events.py::test_custom_events_with_event_to_attr tests/ignite/engine/test_custom_events.py::test_custom_events_with_events_list tests/ignite/engine/test_custom_events.py::test_callable_events_with_wrong_inputs tests/ignite/engine/test_custom_events.py::test_callable_events tests/ignite/engine/test_custom_events.py::test_callable_events_every_eq_one tests/ignite/engine/test_custom_events.py::test_has_handler_on_callable_events tests/ignite/engine/test_custom_events.py::test_remove_event_handler_on_callable_events tests/ignite/engine/test_custom_events.py::test_every_event_filter_with_engine tests/ignite/engine/test_custom_events.py::test_once_event_filter_with_engine tests/ignite/engine/test_custom_events.py::test_custom_event_filter_with_engine tests/ignite/engine/test_custom_events.py::test_callable_event_bad_behaviour tests/ignite/engine/test_custom_events.py::test_custom_callable_events tests/ignite/engine/test_custom_events.py::test_custom_callable_events_with_engine tests/ignite/engine/test_custom_events.py::test_every_event_filter_with_engine_with_dataloader tests/ignite/engine/test_custom_events.py::test_event_list tests/ignite/engine/test_custom_events.py::test_list_of_events tests/ignite/engine/test_event_handlers.py::test_add_event_handler_raises_with_invalid_event tests/ignite/engine/test_event_handlers.py::test_add_event_handler_raises_with_invalid_signature tests/ignite/engine/test_event_handlers.py::test_add_event_handler tests/ignite/engine/test_event_handlers.py::test_adding_multiple_event_handlers tests/ignite/engine/test_event_handlers.py::test_event_removable_handle tests/ignite/engine/test_event_handlers.py::test_events_list_removable_handle tests/ignite/engine/test_event_handlers.py::test_eventslist__append_raises tests/ignite/engine/test_event_handlers.py::test_has_event_handler tests/ignite/engine/test_event_handlers.py::test_remove_event_handler tests/ignite/engine/test_event_handlers.py::test_args_and_kwargs_are_passed_to_event tests/ignite/engine/test_event_handlers.py::test_on_decorator_raises_with_invalid_event tests/ignite/engine/test_event_handlers.py::test_on_decorator tests/ignite/engine/test_event_handlers.py::test_returns_state tests/ignite/engine/test_event_handlers.py::test_state_attributes tests/ignite/engine/test_event_handlers.py::test_default_exception_handler tests/ignite/engine/test_event_handlers.py::test_custom_exception_handler
ignite/engine/engine.py README.md ignite/engine/events.py docs/source/concepts.rst
ignite/engine/engine.py README.md ignite/engine/events.py docs/source/concepts.rst