It is no secret the Rossoneri are on the lookout for a new central midfielder after captain Riccardo Montolivo picked up a serious injury and they seem to have turned their attention towards the French starlet.
And with Lyon going through financial difficulty, it is believed the 23-year-old could be acquired for less than €10 million this summer.
Lazio star Senad Lulic is another player on their radar, but the €18 million asking price is likely to prove too much for cash-strapped Rossoneri.
Clement Grenier is the product of Lyon’s famous youth school and he has so far made 87 league appearances for les Gones, scoring 11 goals in the process.
The talented footballer was tipped to make France’s World Cup squad, but he eventually had to miss the tournament finals due to an adductor injury.