Of course, conversation in its purest and most sublime form has been epitomized by Socrates in his quest for the ultimate truth. I feel it is possible to have a little more "meaningful" conversation without indulging in such higher forms of dialogues.
A one sided conversation is thoughtlessness in its extreme. The mainstay of a ”functional” conversation is conjugality of minds, if not perspectives. A conversation cannot meander beyond niceties if inititated with divergent intentions.
Conversation is a thirst to be quenched with the right measure of verbosity. The penultimate conversation is of course divine. but again the process is frought with experimentations. Seeking is an endless endeavour and you may knock hundreds of doors before finding the right one. Till then, you do not permit yourself to be let in. Wander till you have sought what you are looking for and sooner or later you shall be blessed with God’s receipt.