The midfielder has only been in the Italian fashion capital for just over a full season after his move from Fiorentina last summer, but his performances continue to dazzle and have him once again on the radar of the best clubs across Europe.
Manchester United have had a rough start to their campaign on all fronts under David Moyes and it is becoming more and more clear every match that the club have some serious weaknesses, one being midfield depth.
The addition of Montolivo could bring some much needed balance to a midfield that at times this season under Moyes has not looked in-tune with what is needed for the club to be the best they can be through the middle of the park.
Real Madrid on the other hand also have an interest in the player as form Milan manager Carlo Ancelotti is thought to be looking at the Italian as a long term replacement to summer out of contract midfielder, Xabi Alonso.
With Alonso looked to be let go, if Montolivo can be lured to the Bernabeu in January, it would seal the deal for Alonso to be sold and have the club earn at least a decent fee for the Spanish international rather than lose him for nothing.