Griezmann, 31, is currently at Atletico on a two-year loan deal but the club have been restricting his game time to avoid an obligation to buy him outright.
The original transfer fee was £35million but reports in recent days have suggested a cut-price £22m deal could soon be finalised.
It would end the farce of Atletico manager Diego Simeone only being able to bring Griezmann off the bench after the 60th minute of matches to ensure he doesn’t play in 50 per cent of matches.
However, according to Gazzetta dello Sport, Juventus are alert to developments and may pounce to sign the Frenchman, who has scored three goals already this season despite his limited game time.
Juventus are in a poor run of form and are already thinking about reinforcements for January or next summer.
Griezmann’s Barcelona contract expires in 2024 and the Nou Camp club would certainly have to consider selling the striker for less than they’d ideally have hoped.
Griezmann would also have to take a salary cut if he was to move to Serie A.
Gazzetta add that Juventus may also look at Marco Asensio and Christian Pulisic as they shop for more bargains following this summer’s arrivals of Paul Pogba and Angel Di Maria.
Juventus have lost both their Champions League group matches so far – to Paris Saint-Germain and Benfica – and their 1-0 loss to Monza before the international fortnight left them languishing eighth in the league.
Griezmann, meanwhile, captained France in their 2-0 defeat to Denmark in the UEFA Nations League on Sunday night.
They finished third in their group, avoiding relegation because Austria were beaten 3-1 by Croatia.
