It doesn't look like the poor paisan who carried that thing had much of a chance to carry or use it, just seeing its condition. Not surprising, considering the reputation of the average Italian soldier.
I'm not good with Italian handguns, but I know a particular model of Beretta was made expressly for the Germans, and they can be pinned down to a certain serial range. Ya might wanna look into that.
Awesome slice of history ya got there Bernie! Pieces like that, with a direct link to your heritage, are worth more than their weight in gold.