Not amoung the frontline troops, but the army's auxiliary divisions def used them since they were way way behind the lines and it was more a formality for them to have guns than a necessity. They were about 200,000 strong, and did work building roads, moving supplies in ports and such, and never served at the front. There were also 3 security divisions for policing (2 in Sicily and 1 in Sardinia) that kept their Italian stuff as well. Basically the allied equipment/uniform issue was solely for the combat groups of the liberation corps.