From Longman Dictionary of Contemporary Englishhold a conversationhold a conversationTALK TO somebodyto have a conversation → hold
Examples from the Corpus
hold a conversation• This involved being around, or hanging around, just watching, recording, holding conversations.• She's getting better at speech now, and hold a conversation, but she doesn't understand some things.• In any case, she couldn't have held a conversation there.• What she did increasingly was to hold conversations with ha father from which Cara was carefully and deliberately excluded.• If you tried at all to hold a conversation with her, you found she was almost impossible to understand.• He just wouldn't hold a conversation with him.• If you can not hold a conversation with some one without getting out of breath then you are going too fast.• Aileen knew how to hold a conversation with twelve people and work hard at the same time.