The Italian army adopted the Beretta BM59, basically an M1 Garand chambered for 7.62x51mm NATO capable of select fire. It was about as successful as all the other select fire battle rifles adopted around the world (not very). From Wikipedia:

After World War II, Italy adopted the US-designed M1 Garand rifle in .30-06 (7.62x63mm) and also manufactured it under license. This semi-automatic rifle proved itself well during WWII, but in the late 1950s it was considered outdated and obsolete. The Italian military wanted a new rifle chambered for the NATO-standard 7.62x51mm.

Beretta designed the BM59, which was essentially a rechambered M1 fitted with a removable 20-round magazine, folding bipod and flash suppressor/grenade launcher. The BM59 is capable of selective fire.

I came across this Class III, full auto, Beretta BM59 on Gunbroker (The auction has since close). Click to expand the photos: