The Italian outfit are hoping to take the Mexican international striker on a temporary loan deal, following the two club's earlier summer business when Matteo Darmian made the switch from the Stadio Olimpico to Old Trafford.
Reports suggest that a loan move could then become permanent, should the 27-year-old feature in an agreed number of games.
Hernandez has fallen out of favour at Manchester United since Louis van Gaal's arrival last summer and, despite the Red Devils' lack of forward options this time round, he continues to be linked with an exit.
He spent the previous season on loan at Spanish giants Real Madrid, where he made 23 La Liga appearances - in just seven of which he started - while scoring seven goals.
Meanwhile, he recorded an impressive four assists, while fashioning 11 key passes.
However, as the Mirror suggest, both clubs now find themselves faced with competition from Serie A.
The Mexican international looks set to quit Old Trafford this summer and he would represent some coup for any top flight club willing to give him regular game time.