Your long rifle is not a Carcano, it is a Vetterli M1870/87/15. It was originally the ItalianM1870, a single shot rifle of 10.35×47mmR caliber. Then, in 1887 it was converted to a repeater of the same caliber and after that in 1915, with the emergency of WW1, it was converted to Italian 6.5mm caliber with a new magazine and a lined bore in the new caliber.
They are not recommended for shooting due to the minimal locking lugs on the primitive bolt and the ability of the barrel liner to come loose. Even in WW1, they were issued only to rear echelon troops who were rarely expected to fire their weapons but might need to when an emergency came up.