No, there are statutes of limitation, but they are reset or stopped when you start proceedings. This could be the end of appeal proceedings, which can take a lot of time, especially in italy.
We were taught the "italian torpedo" in law school, which is basically to file your case in italy (when you have a case with international elements) if you want to delay the proceedings, since it can take years for italian courts just to find that they do not have jrisdiction, and the other party cant bring their own proceedings before another court beffore this one finishes. In most cases, by the time the italian court makes a verdict the case is already "sunk", i.e. its been delayed so much there's no point in it anymore