It is understood that the Italy international has been given a €20m price tag, and many believed that Darmian would return to Turin ahead of the new campaign to join his former club Torino's rivals, Juventus.
But talks with the Old Lady appear to have stalled and Darmian could now be set for a move to San Siro. Gianluca Di Marzio claims that Inter will look to land the 28-year-old on a temporary deal this summer by offering the Red Devils a high loan fee.
Talks between Manchester United and Inter are still ongoing, however, it is believed that the Italian side will need to up their offer before a move is sanctioned by officials at Old Trafford.
Inter have already made a number of high-profile signings this summer, not least of which is the £34m arrival of AS Roma star Radja Nainggolan.
Argentine wonderkid Lautaro Martínez has also moved to San Siro in a deal worth just over £20m, while Matteo Politano, Stefan de Vrij and Kwadwo Asamoah have joined either on loan or on a free transfer.
Manchester United, meanwhile, have only made three signings so far this summer. Stoke City goalkeeper Lee Grant has joined for just over £1m, while the club's two marquee signings of Fred and Diogo Dalot have set them back over £72m.