score:7
It is probably a statue of Antinous. (Or Hermes)
In fact it is probably this one here (notice the object behind his leg):
It is located in the Capitoline musuem in Rome. It is supposed to be Antinous in the shape of the Greek god Hermes. See more here. (There is a debate on whether the statue is in fact a Roman copy of a Greek statue of Hermes)
Upvote:6
The museum in the movie is "Galleria d'Arte di Roma", a museum that doesn't actually exist. The figure itself is a rather generic good-looking curly haired figure of renaissance Italy, and is in looks fairly similar to for example Michalengalo's David, although it's clearly not that statue, nor a copy of it.
So the answer is most likely: It's not really supposed to be a statue of anyone, but just a generic Hollywood "Italian statue". It may be that this statue is a replica of some actual statue, but it's hard to say, especially since it's hard to say which statue it actually is in the wide-shots.