The Montenegro international endured a difficult year at the Etihad where he made just five league starts before leaving for Fiorentina on a free transfer in the summer of 2012.
However the 23-year-old looks to have found his feet in Serie A and a regular run of games has given the youngster confidence in the heart of defence.
And according to talkSPORT, United manager David Moyes is prepared to take a risk on Savic.
The speculation comes after summer transfer target Mehdi Benatia looks set to reject the chance to join Old Trafford and sign a new deal at Roma.
Moyes has been given a summer transfer kitty of £100million to overhaul the squad.