Pogba headed back to Old Trafford from Turin in 2016 though has struggled to live up to his £89m price tag at times.
The Serie A giants are believed to be keen to re-sign the Frenchman with Andrea Pirlo reportedly eyeing a reunion next summer.
Pogba’s United contract is due to end next year though there is an option to extend by a further 12 months.
Though Italian outlet Tuttosport claim that Pogba is yet to sign a contract extension at Old Trafford because he is waiting on a return to Italy.
Pogba struck up a fine partnership with Bruno Fernandes in United’s midfield towards the end of last season.
It’s a midfield that has been improved by Ole Gunnar Solskjaer this summer with Donny van de Beek heading to the Prem giants from Ajax.
Luca Toni recently urged Pirlo to sign Pogba with Pirlo only recently taking over at the Serie A champions.
"Knowing Andrea, he will start building from midfield," Toni said. "The ideal gift would be Pogba.
“I don't know if that's possible, but it would certainly be the best option.
"Andrea will not be a coach who focuses on defending and counter-attacking. He loves to dominate the ball and will want to impose that on his team.
"I don't know what system he will use and I don't think it matters. Andrea is intelligent and flexible.
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"Character-wise, he's more like Pep [Guardiola]. Having said that, Antonio [Conte] impressed him a lot during his three years at Juventus.
"But in terms of group management, he was fortunate enough to be coached by the two best: [Carlo] Ancelotti and [Max] Allegri.
"All useful experiences, but in the end, he will be himself. He will be Pirlo and he will go his own way. Without pretending or copying anyone."