However, a new deal is still yet to be agreed, and Belgian journalist Kristof Terreur has now reported that Milan have made an official approach for the 30-year-old.
United are still understood to be hopeful of extending Fellaini's stay at the club, although time is running out for them to agree terms with the midfielder.
That's a confirmation from my side. AC Milan have contacted Marouane Fellaini about a summer move. They are willing to offer him a long term deal. Man United still in the race, though. #mufc #acmilan pic.twitter.com/cqetUVLbvU— Kristof Terreur 📰 (@HLNinEngeland) May 20, 2018
Fellaini joined United in 2013 and has gone on to play more than 150 games for the club, scoring 20 goals.