Jose Mourinho today admitted he was unlikely to make any major signings at United in the January transfer window.
But Express Sport understands Mourinho has made Atletico Madrid star Griezmann his No 1 target for the summer.
Griezmann reportedly has an £86million release clause in his contract at the Vicente Calderon, but Spanish football expert Balague insists no deal is yet done.
Atletico Madrid star Antoine Griezmann is wanted by Manchester United
How Man United could look with Antoine Griezmann
Sun, October 16, 2016
Is this how Manchester United's squad could look with Antoine Griezmann
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Is this how Manchester United could look with Antoine Griezmann
"Antoine Griezmann has definitely NOT decided on his future,” Balague told Sky Sports. “There is no agreement with Manchester United.
"Do United want him? Yes, they want him and he will consider his future. He has said no offers from Manchester City and United in the past.
"Even though his future is not linked to Diego Simeone, he would like to stay at Atletico Madrid if Simeone stays.”
Antoine Griezmann could be set to leave Atletico Madrid
Atletico boss Simeone has admitted that he may be powerless to keep Griezmann should his release clause be met.
"I don't tie anybody down, I simply keep working to continue getting better for the sake of the club,” Simeone said.
"He is in an extraordinary moment, is working well, has got back on the scoresheet and his form is good.
"It is normal that the best teams in the world want him. I am not surprised that the teams who are looking are the ones who can afford him."