The Daily Record claims that Jose Mourinho has identified Griezmann as one of his targets, as he aims to return United to a level where they can compete for the Premier League and Champions League titles.
United reportedly tried to land the France international from Atletico Madrid last year, but were not encouraged by the player himself whose focus was the European Championship.
The Red Devils eventually brought back Pogba to Old Trafford, four years after he left as a free agent to Juventus.
Pogba is said to be “talking to the boy almost every day to push him to go”.
“I always have good times when I’m with Grizou,” Pogba said in a recent interview with French television.
“He’s my brother, we’re always together. When you’re feeling good away from the pitch it’s easier for you on the pitch, and that’s what’s happening with the France team. I’m very proud of him. I know what he’s been through. When he arrived at Atletico Madrid the first year, he wasn’t playing all the time, he was on the bench.
“He talked to me, saying he was frustrated, that it was hard as he wasn’t playing. After that he kept working hard, and now he’s one of the three nominees for The Best award. I’m very happy for him, especially to see a French player doing so well.”
Griezmann has scored 63 League and Champions League goals for Atletico from 121 appearances since joining from Real Sociedad in 2014.