difference of CM in Italy and in world


In the USCF, to be a candidate master you need 2000. But that's different from FIDE CM.
FIDE CM has no relationship, necessarily, to CM of a national federation. A FIDE 2048 is a FIDE 2048 - and against a FIDE CM (2200+) he/she would be outrated, and I'd expect the Italian CM to lose, although they're not that far away.