The term BEGIN A CONVERSATION WITH can be summarized by two crossword solutions: ENGAGE (6 letters) and EDSEL (5 letters). ENGAGE is a verb meaning to initiate or participate in a conversation, while EDSEL is a noun referring to a brand of automobile manufactured by Ford Motor Company from 1958 to 1960. Both words suggest the idea of starting a conversation, either by actively engaging in it or by using an interesting topic of conversation such as the EDSEL.