Two scenes from the movie "Via Margutta" (1960) show a similar stretched Fiat 1100 Taxi. I don't know if it's the same car, but the scenes are not related so it's not necessary the same.
It's the "short wheel base" version, but in my opinion are interesting the chromed door handles, that I see also on the "lwb" car in the first post of this thread and in the "Plein Soleil" car.