The Daily Mail report that the offer is on the table, and it includes lucrative bonuses on top, although further talks are expected in the coming days.
Paris Saint-Germain remain another interested party with Pogba available on a free transfer this summer, but they must make another appointment before any move for the 29-year-old.
The Ligue 1 champions are working to appoint Luis Campos as sporting director, as a replacement for Leonardo, but until he is in place they will not move for Pogba.
While it is a substantial offer Juventus have made to the World Cup winner, it would be a big drop in the wages he was earning at Old Trafford.
The Frenchman was earning comfortably over £200,000-a-week while with the Red Devils, so he may be tempted to hold out and see if PSG will offer more than Juve have put on the table at this stage.
A return to Turin would be another reunion for Pogba after his two spells with Manchester United, and it would represent the second time he has swapped the Red Devils for Juve on a free transfer.
His first stint with the Old Lady saw him win four Serie A title and two Coppa Italias, although the Champions League has eluded him with both United and Juve.
MORE : Paul Pogba set for huge loyalty bonus from Manchester United despite exit
MORE : Chelsea and Liverpool stars would ‘love’ to sign departing Man Utd midfielder Paul Pogba, claims Darren Bent
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