EXCLUSIVE: The Italian champions have made the signing of a left-back a priority this summer and have targeted the Manchester United man
The France international, who turns 33 on Thursday, is almost certain to leave Old Trafford at the end of the season with his current deal due to expire.
Italian champions Juventus are set for a busy transfer market as, having just clinched a third straight Scudetto, they are desperate to improve their squad ahead of a Champions League assault.
Uncertainty still surrounds the future of coach Antonio Conte, who has yet to commit to the club as he seeks assurances over big-name purchases this summer, but the signing of a new left-back is a priority regardless of who sits on the bench.
Juve plan to switch from a 3-5-2 to a 4-3-3 system and have earmarked Evra as a bargain signing.
The Frenchman began his professional career in Italy, first with Marsala and then with Monza, and is tempted by a move back to the country.
Serie A outfit Inter are also interested in signing Evra, having already captured team-mate Nemanja Vidic on a Bosman, but Juventus are now pushing ahead of their rivals in the queue.
Discussions have already taken place between Evra's Italian representative Federico Pastorello and Juventus directors, and Goal understands that the results of these talks were positive.
Evra is interested in the Juve project and would be prepared to take a cut to his current €110,000-a-week wages in order to move to Turin.
Evra joined Manchester United in 2006 and has enjoyed a highly-successful spell in England, winning five Premier League titles and a Champions League.