Remember, the animosity between the two was legendary -- they trashed each other for years in public and in private and called each other every bad name in the book.
Well, Cormier finally responded Wednesday night on FS1's "UFC Tonight" -- and politely declined the offer.
"Friendship would be very difficult for us to achieve because of our history," Cormier said ... "And I'm okay with that. I've always said that we don't have to be friends."
Cormier says he respects Jones as an athlete -- and still wants another rematch.
"In terms of going forward, we will be professional because we have to ... until the cage door closes again."