08/28/2012 AT 11:00 AM EDT
and other A-Listers have started to invade Venice for the 69th International Film Festival.
Sporting aviators, a brown Twenty8Twelve romper and heels, Hudson arrived solo Tuesday, leaving fiancé, Matt Belamy
, and sons, Ryder, 8½,
and Bingham, 13 months,
The stylish Hudson is there to promote her new film, The Reluctant Fundamentalist
, which also stars Kiefer Sutherland
and Liev Schreiber
The film tells the tale of a young Pakistani man trying to make his name on Wall Street as he struggles with his identity and a hostage crisis.
Schreiber also arrived on Tuesday, with longtime partner, Naomi Watts
, who has been in London filming Diana.
The film festival runs until Sept. 8.