The 23-year-old Frenchman has been in terrific form in La Liga for some time, and was influential in dragging his club into this term’s Champions League with a series of fine displays in 2012/13.
Despite his importance to them, Sociedad are believed to be willing to listen to offers of around £20m, which has piqued the attention of the Premier League trio.
Arsenal have held the longest standing interest in the winger, with Arsene Wenger having been linked with a move for his services on numerous occasions over the course of the past few years.
But now both Liverpool and United are keen, with the two rival clubs set for huge summers of activity.
The Red Devils have a rumoured £200m to spend to bolster their underperforming squad, while Brendan Rodgers is looking to bring fresh talent to Anfield to build on a good season on Merseyside.
Griezmann himself is rumoured to be keen on a big move, but may hold off until after the World Cup to make a final decision.
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