1. One or more computer-storage hardware devices having computer-executable instructions embodied thereon that when executed by a computing device perform a method of generating topical query suggestions in response to multiple search inputs, the method comprising: receiving multiple search inputs from a user that are all part of a search session; for each search input, generating a set of search results, thereby forming a plurality of search results sets; extracting topics from each of the set of search results; identifying one or more common topics that were extracted from at least two of the plurality of search results sets; outputting the one or more common topics for display; receiving a selection of an individual topic within the one or more common topics; and outputting for display a subset of search results from the set of search results that is associated with the individual topic.