The Croatia international is set to leave the San Siro upon the expiration of his contract this summer, with no extension agreed between the two parties at this stage.
Atalanta BC defender Robin Gosens is still a target for the Italian champions Inter Milan.
The Germany international has established himself as one of the best left wing-backs for club and country over the past year.
Nerazzurri have emerged as a potential destination for the left-back should he ever depart Atalanta.
The 24-year-old was blocked from leaving the club over the summer, with manager Ole Gunnar Solskjaer insisting that the playmaker was part of his plans this term.
Van de Beek has only played 51 minutes of football for the Red Devils in the early stages of the current campaign, though, including just six minutes in the English top flight.
The Greece international has made just seven appearances for the Reds in 2020-21.
Despite struggled to cement his place as a first-team regular, the Merseyside giants supposedly have no plans to sell the 25-year-old.
The 26-year-old defender has made 73 appearances during his four years with City, having struggled with plenty of injuries since arriving from Monaco.
He was restricted to just 13 top flight outings during the previous campaign, and he only has two years left on his contract at the Etihad Stadium.