Digital Condition - From/CC/To Fields
There is no condition for Digital contacts to check who the message is From, who was CC, or who the message is To (if outgoing). There exists a Digital Condition for Content, such as searching the Message Body or Message Subject, but not other details of the message. This condition would need to accept wildcards, as so that you could search for domains rather than a specific email address.

We've recently added an Email search keyword, which supports both TO for outbound and From for inbound
For more advanced features for From, To, CC with operator like Contains we have the Rules engine in Admin, which allows to categorize or ignore content according to a partial match in the email address.
Do you need to extend this partial match to the search in "My messages" or can the Rules Engine be sufficient for your use cases?
Please provide more detailed examples to your usage and desired search options.
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Anthony commented
Hi, Grigori,
Sorry for the confusion. This suggestion is relating to Automation Conditions and Triggers, not Search.