Green’s Dictionary of Slang

(US teen) a conversation. esp. one person’s monologue; also as v., to chat to.

1992		D. Burke Street Talk 2 74: Get with the program! Just go up and dialogue her.
2000		Gav CX Mag. Jun. 🌐 I noted a gleaming in my mate Dave’s eyes and some serious drunken gibberish followed as we had a dialogue over whether this would be something we’d fancy going to.