Inter Milan is also interested in Darmian but Mou says none of the clubs are closer to the defender's valuation.
"We'll see what happens in the next few weeks but there is a possibility I will return to Italy".
United boss Mourinho said on Wednesday that the Italy worldwide could leave Old Trafford "but not at any price".
Matteo Darmian has dropped down the pecking order since Jose Mourinho's arrival at the club two seasons ago.
"Valencia is injured, you are right", Mourinho said.
Mourinho has started Bailly in United's three pre-season games and has pencilled him in to start in their Premier League opener against Leicester on August 10.
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He will, according to the same report, be part of a group of as many as a half a dozen players to be allowed to leave the club this summer a the Old Trafford hierarchy clean out their collective cupboard.
"It would be easy for me to quit and say: 'I want to go.' Of course, if the manager comes and says: 'You're not a player for Manchester United, you're not a player for me, ' then I'll accept that and find another place".
"Players like Anthony, like Marcus Rashford, Jesse Lingard, Juan Mata, Alexis Sanchez - they are all unbelievable players who can change games", the 28-year-old Spaniard was quoted as saying.
"We will see what happens".
One of Shaw's lowest points came last season against Brighton, when he was subbed at half-time in an FA Cup tie "I was very upset, but he only does stuff like that because he knows what I can do", said Shaw. Honestly, I feel really good and I'm raring to go, and the minutes [on tour] are only going to help me become fitter.
Manchester United's pursuit of Harry Maguire could be eased by Leicester City's attempts to sign Newcastle United captain Jamaal Lascelles. "But we have to take decisions in our life and this is my decision", he said.
It is believed that Leicester will reject any opening offer; Maguire, however, remains the player most likely to move from England's starring team this summer.
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