The Rover screened at the Torino Film Festival 2014 this week. According to this review from The Horsemoon Post, the film is being released in Italian cinemas on Thursday, 4 December 2014.
ComingSoon Italy also confirmed in a tweet:
Arriverà nelle sale il 4 dicembre #TheRover, il film di David Michôd con #RobertPattinson e #GuyPearce: http://goo.gl/ZO5HIi