I did hear about one of VE's sister's husbands being murdered. That must be one of the accusations against Vittorio.
The husband of Princess Maria Beatrice, Luis Reyna Corvalan y Dillon, was indeed murdered in his home in Cuernavaca, Mexico, in 1999; but Vittorio Emanuele has nothing to do with his murder. Vittorio Emanuele has many faults, included one murder, but he isn't at all responsible of his brother-in-law's death.
Back on topic, the Monarchy in most likely won't be restored.
First of all, Italy has now (and I'm afraid will continue to have in the next future) lots of more urgent and pressing political and institutional problems to face and solve. Italian politicians and institutions do have other things to think about and to do.
Secondly, the largest majority of the population doesn't even think about the possibility of a restoration of the monarchy. There is still much anger against the ex Italian Monarchy and the Savoy Kings of Italy because of their behaviour during and after the fascist regime in Italy.
Thirdly, the Savoy claimants to the throne are either far from be suitable Kings or virtually unknown to Italian people. And all them doesn't seem to be very interested in restoring the Monarchy.
Last but not least, even if people, politicians and republican institusions all agreed to restore the Monarchy, there would be a not easy practical problem to solve: how to realize the restoration. The problem is that the Italian (Republican) Constitution clearly states that "The form of Republic shall not be a matter for constitutional amendment", excluding any chance of a "legal" and constitutional change of the form of government and thus of a restoration of the Monarchy.