This is interesting.
What the poster has not specified is what the grounds of the lawsuit would be. I recommend that other posters employ skepticism regarding any claims that such lawsuits may be legally pursued in Italy or elsewhere.
According to Italian procedural law, the civil cases, conducted during the criminal trial, for the charges on which accused persons are finally (definitively) acquitted are also definitively and finally resolved in favor of the accused.
Here are excerpts of some of the relevant Italian procedural laws:
CPP Art. 648
1. Judgments delivered at trial which which are not subject to an appelate remedy other than revision are final.
{Thus, the final CSC judgment of acquittal by the Marasca CSC panel can not be appealed by the prosecution or any other party. Revision trials only address convictions considered miscarriages of justice according to certain elements, CPP Art. 630.}
CPP Art. 652
1. The final criminal judgment of acquittal delivered after a trial shall have binding effect, with relation to either the ascertainment that the criminal act did not occur, or the accused did not commit it ... in the civil or administrative trial for restitution and compensation for damages brought by the injured person or in his interest, provided that the injured has joined the proceedings as a civil party or has been given the possibility to join the proceedings , unless the the injured has already brought the action in civil court....
CPP Art. 654
The final criminal judgment of conviction or aquittal delivered after a trial shall have binding effect in the civil or administrative trial on the accused person, the civil party and the person with civil liability for damages who has appeared or intervened in the criminal proceedings. ....