United and Lazio are in talks over a deal for the Serb, however with the Rome club's president Claudio Lotito declaring a willingness to sell, this has flushed out rival interest.
Corriere dello Sport says along with United, Tottenham and Manchester City are also interested in Milinkovic-Savic, with Lotito seeking €80m to cash in.
Lotito has stated in recent days: “Last year, I fought hard to ensure Milinkovic-Savic didn't leave. This season, I certainly have fewer weapons to call upon if the situation should arise again.
“That doesn't mean the club is working actively to sell him. Certainly, Milinkovic-Savic on a personal level has other ambitions and that seems fair, so we won't clip his wings.
“We understand it's important for a player to step up to one of the biggest clubs in the world. However, a player only has a price-tag when he is for sale and the transfer market is dictated by action, not words.
“When a concrete proposal arrives, we'll examine it and see what the conditions are, whether they satisfy the club and the decisions we'll then make."