I had a Carcano Model 38 carbine in 6.5 for 9 years and it was accurate with the right ammo. This was the most moody rifle I have ever had concerning different ammo sources. The Italian surplus ammo that came with the trade (Silurante 1936?) was a tack driver, the German made stuff was poor accuracy wise. The Norma commercial brand shot well, but expensive as I did not handload.
Try some different loads if the stuff you have is not all that great, gunshows can be a source. I found the action to be stiff, but in the hands of a good rifleman, yea, I believe it could have been the gun that was credited with shooting President Kennedy in 1963.
The Italians used this basic action in WW 1 and WW 2, so that gives it some operational history.