The Frenchman revealed last week that he will be leaving Madrid this summer and it was expected that Barcelona would sign him for his £104million release clause.
But the Barcelona hierarchy are divided about signing the 28-year-old forward as some feel the money could be better spent elsewhere in the transfer window.
Plus the feeling in the Barcelona dressing room is that Griezmann played them last summer and that they are not interested in welcoming him in as a new signing.
And this has opened the door for United, who according to the Independent, have made contact yet again with Griezmann’s camp over a potential deal.
With Barcelona not overly keen, while the likes of Manchester City, Real Madrid and PSG not interested, it could pave the way for United to try and capture the big-money signing of Griezmann.
Ole Gunnar Solskjaer is looking to rebuild his United squad this summer after their hugely underwhelming sixth-placed finish in the Premier League.
United end their season in very worrying fashion, losing 2-0 to already-relegated Cardiff at Old Trafford in the final game of their campaign.
Solskjaer has a huge task on his hands this summer as he looks to revamp a squad, which would be ready to secure a top four finish and Champions League football.