Man Utd battling PSG for Real Sociedad winger Griezmann
The People says United indicated their interest in the 22-year-old to Real Sociedad bigwigs when the sides met in the group stages of the Champions League.
But sources close to PSG say they are ready to step up their pursuit of the player with an offer of around £16.5million before the World Cup begins next summer.
United must decide whether they wish to be drawn into a bidding war for Griezmann, who has a buy-out clause of £25m in a contract which will have one year to run come June.
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