Decentralized Mechanism Design
I am not sure if this is the answer you were aiming at, but... what about the revelation principle?
There is no requirement to communicate with the designer. However, researchers are ofter first interested in what the optimal allocation rule is. In that search, it is wlog to consider direct mechanisms by the revelation principle: Suppose an indirect mechanism without communication to the designer implements the optimal allocation, then we can obtain the same allocation if every agent simply reports their type to the mechanism designer who then computes the equilibrium allocation of this indirect mechanism and implements it. See my reply with more details here.
If you want to know if there is a general approach of how to find equivalent indirect mechanisms for the optimal direct revelation mechanism, I am not aware of an answer.