The Portugal international winger appears set for a move away from Old Trafford this summer after struggling for regular first-team football under Sir Alex Ferguson last season.
And with reports suggesting that the incoming boss David Moyes does not see Nani as part of his plans given that £15million signing Wilfried Zaha is arriving from Crystal Palace while Ashley Young is returning to full fitness, it seems the 26-year-old has played his last game for the Red Devils.
Galatasaray ruled themselves out of the running because they would not meet United's £8million asking price, while it is thought Nani does not want to play in Turkey despite Champions League football being on offer.
That has paved the way for Italian champions Juventus and ambitious big-spending French Ligue 1 outfit Monaco to step in with reports claiming both clubs have already held informal talks with his representatives.
Nani, who revealed last weekend that he does not know where his future lies, has reportedly admitted to friends that he would be open to playing in France or Italy.