The French attacker has been in scintillating form over the last couple of years and his impressive showings did not go unnoticed.
Mundo Deportivo understands that Juventus are seriously considering making a move on the 22-year-old footballer.
The same source has suggested the Bianconeri have established initial contacts with the player’s representatives to see whether Griezmann would be interested in a switch to Turin.
Everything suggests the Old Lady will attempt to sign the Frenchman in January, although that is not going to be an easy task.
Griezmann has a contract until June 2016 at Anoeta and a €30 million release clause inserted in his deal.
Despite his fragile age, the forward has already made 156 league appearances for La Real, scoring no less than 38 goals in the process, and he is widely tipped to earn his first France cap in the coming months.