Sky Sports are reporting that United Chief Executive Ed Woodward has begun negotiations with Pogba in the last 48 hours, that could see the midfielder return to Old Trafford in a world record deal worth £100m.
Pogba and his representatives however, are keen that any significant progress should happen after France's Euro 2016 campaign concludes, with Les Bleus vying with Germany on Thursday evening, for a place in Sunday's final at the Stade de France in Paris.
The French international, who departed The Red Devils initially in 2012 - almost four years to the day - may now return to the Premier League club he left, opting instead to move to Serie A.
Pogba has become highly sought-after
Since moving to I Bianconeri, Pogba has become one of the greatest exponents of his field.
His bullish, take-no-prisoners attitude, has made the central midfielder one of the most highly sought-after individuals in both World and European football. His distribution and eye for goal also, make the Frenchman a rare commodity.
Pogba captained the France U-20 side to in lifting the FIFA World Cup in 2013, in which he took home the best player of the tournament award. Born in Lagny-sur-Marne, Pogba came up through the ranks at Le Havre between 2007 and '09, where he caught the eye of Sir Alex Ferguson.
He then joined the United academy in July 2009. When he left in less than acrimonious circumstances, where Ferguson accused Pogba of 'disrespecting Manchester United'.
United have rivals for Pogba
Re-capturing Pogba may not be easy. The Italian champions are keen to keep hold on Pogba, in spite of adding Miralem Pjanić to their ranks from AS Roma. However with United offering £300k per week wages, any improved deal will be hard to match.
The Frenchman is also being courted by Real Madrid, with boss Zinedine Zidane and club president Florentino Perez believing the player wants to move to Santiago Bernabéu.
United may yet have the advantage, as Woodward has already concluded negotiations with Pogba's Mino Raiola, also the representative of Zlatan Ibrahimovic and Henrikh Mkhitaryan. If Pogba does arrive, he could become the fourth signing of the Mourinho era.