United were strongly linked with the France international although failed to push through a deal, with Griezmann deciding to stay put after Atletico Madrid were hit with a transfer ban.
But the move could still happen in January, with Jose Mourinho keen to bring in a marquee signing to take the vacant No.7 shirt, with Gareth Bale also an option in summer 2018.
The Arsenal playmaker was one of a number of stars linked with Camp Nou over a turbulent summer at the club. But the Argentine reportedly was not happy at the idea of playing alongside Ozil, and made his feelings known when the opportunity arose.
Real Sociedad defender Inigo Martinez was another to apparently receive Messi's thumbs-down, while he was upset deals could not be completed for Angel Di Maria, Paulo Dybala or Philippe Coutinho.