Bonjour! Non, no, sadly this train is withdrawn since a few yrs now and there is also no really viable alternative for direct traffic FR-IT other as these superfast daytime TGV/ etc trains.

IF you really insist on overnight trains and had plans anyway to make a longer trip to Austria/Wien=Vienne, then this line is in service. Nearly all still running overnight trains in West-EUR are done by OeBB from Austria labelled as NightJet-see their site for more info. Railpasses are accepted, supplmt payable.

In summer you could also use-but it has seats+couchette only, no real sleeper=wagon lits, from Paris along Marseille-Cote d´Azur to Nice-and then a nice scenic but slow line along coast to Genua-then onto Vnz.

Merci beaucoup!!! 

If you still wanna catch a Nighttrain you could catch a TGV/ICE from Paris to Stuttgart and change there for the Nightjet to Venice :)