Darmian has endured an inconsistent two seasons at Manchester United since signing from Torino in the summer of 2015.
However, the Italy international seems to have earned Jose Mourinho's trust after starting their 2-0 Europa League win over Ajax last night.
The result means Jose Mourinho's side will be in the Champions League next season – and the former Chelsea boss is planning an overhaul of his squad as a result.
One area he could look to strengthen is left-back, with Luke Shaw, Darmian and Daley Blind all failing to nail down the position.
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Sergio Romero – 7.2
Matteo Darmian's agents will fly in to talk about his Manchester United future
Mourinho has supposedly been impressed with Darmian
Darmian, naturally a right-back, has been deployed on the opposite flank more often than not with Antonio Valencia blocking his route to the first-team.
And Club Call claim his representatives will jet in from Italy in a bid to establish what the future holds for him.
Mourinho has supposedly been impressed with Darmian and is said to have told his backroom staff that the 27-year-old could still be at the club next season.
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Matteo Darmian has earned Jose Mourinho's trust in recent months
The former Torino defender is wanted back in Italy, with Roma a likely destination.
The Serie A giants are determined to challenge Juventus for the Scudetto once again next season and feel the United defender would help them end their wait for a first title since 2001.
United, meanwhile, have been linked with moves for Tottenham duo Kyle Walker and Danny Rose, as well as Benfica star Nelson Semedo.