You may enter a conversation with good intentions, but if it escalates into a disagreement or a full-blown argument, you may find yourself defending your own position and trying to prove the other person wrong. That's not a conversation. It's a debate. And if it's accompanied by insinuations, denunciations, or repudiations, you can be certain that no progress with come of it.
If there's someone with whom "conversation" frequently turns into "disagreement." consider employing intentional dialogue, a powerful stepped process that involves listening without judgment, by validating what the other has said, them empathizing. See more at the following links wordand word.
If a disagreement deteriorates into a potential lawsuit, use mediation as a first step, before employing an adversarial form of dispute resolution, with litigation (the antithesis of conversation0 as your last resort. Include a mediation clause in all contractual agreements to avoid the cost, time and emotional drain of litigation.