The state a conversation, when both parties involved have exhausted all possible conversation topics, but continue to participate in the discussion because of the enjoyment they get from hanging out with the other person. The 'convo' has effectively achieved a status of balance and equlibrium, or in Latin, -stasis. It is usually, although not limited, between two people, and occurs most often in a facebook chat, or cell phone conversation.
" Annie and I were talking all night, and then we just ran out of things to say. We were in convostasis for a good hour."