The Serbian is into the final year of his contract at the Etihad and he is yet to begin talks over an extension.
As a result, the left-back may well be shown the exit door this summer and clubs are ready to pounce if he does leave.
Kolarov's former side Lazio have been linked with a swoop, while Turkish giants Besiktas are also monitoring his situation.
But, according to TMW, Roma are now also ready to throw their hat into the ring for the 31-year-old.
The Italian club are in the market for a new left-back this summer and they believe Kolarov could be snapped up for around £8m.