Trello-like UI with extra actions

Users are charmed by the easiness of Trello's way to move cards from one list to another to express actions. The question is, not everything can be expressed by changing column card belongs to. What can be a good solution for having extra actions (which may depend on starting and destination points of the move) in Trello-like UI?

For concrete example: There may be a need to send a message (not automatically - user should review it) in connection with the move. Or there can be extra information needed for the card to be eligible for the destination column. This seems to break the nice and easy interaction.

Or maybe the whole idea to use card view makes no sense if just drag-n-drop is not enough?

Here, each list of cards is understood as a main status of the entity, which the card represents.