The Italian attacker has been in fantastic form for the Serie A side this term, with his 10 goals in 23 outings alerting some of Europe’s very best sides.
City and United are just two teams believed to be interested in the versatile forward, with summer raids already being mooted.
Torino are said to be willing to extend Cerci’s stay at the club, but they have become increasingly aware that they may be unable to do so as bigger teams swarm.
As a result, they are said to be willing to offload their man if an offer of around £13m is received.
This fee is easily manageable for both Manchester sides, who hold the upper hand over outfits in his homeland who are also keen due to their ability to offer him a far more lucrative contract.
Cerci has long been hailed as a rising talent in Italy, but he has struggled to convert his potential into performances after a series of misdemeanors at Roma and Fiorentina.
Now 26-years-old, he appears to have settled, and is even in line to be a part of the Azzurri’s World Cup squad.