The film, directed by Luca Guadagnino from a screenplay by David Kajganich, will premiere at the Venice Film Festival on Sept. 6.
Swinton portrays a rock legend on holiday on the volcanic island of Pantelleria with her partner, played by Matthias Schoenaerts. Their stay is disrupted when a record producer and old flame (Ralph Fiennes) unexpectedly arrives with his daughter, portrayed by Dakota Johnson.
The project is one of Variety‘s 30 most-anticipated films of Oscar season.
Swinton and Guadagnino collaborated on the 2009 film “I Am Love.”