The Morocco international only completed his move to the Stadio Olimpico in the summer from Udinese, where his impressive performances have attracted the attention of David Moyes and Paris St Germain.
That has seen Roma move to reward the centre back with a bumper new deal in a bid to see off potential offers.
Tottenham and Arsenal had been credited with a move for the centre back in the summer, before he made the switch to Roma.
His performances since have seen his stock rise further, while he has also chipped in with five goals.
Moyes will be in desperate need for a new centre back in the summer, with Nemanja Vidic already confirming he will leave the club at the end of the season.
Rio Ferdinand is also likely to depart, meaning two recognised centre backs may be required.
Roma’s sporting director Walter Sabitini is looking to sit down with the defender’s representatives before the end of the season in the hope of negotiating a contract extension.