The Bourne Ultimatum, the third installment of Universal Pictures' successful action series, began shooting this week in Tangier, but it is still without a worthy nemesis for its amnesiac spy hero, Jason Bourne.

The Hollywood Reporter writes that an offer has gone out to Gael Garcia Bernal to take on the role, though negotiations have not yet begun. Matt Damon is back as Bourne, and Joan Allen and Julia Stiles are back as well. David Strathairn also has joined the cast. Paul Greengrass is returning as director.

The story centers on assassin Bourne uncovering mysteries of his past, which puts him in the cross-hairs of a superkiller.

Related: Jason Bourne Review #2: A Bone Crushing, Cinematic Smackdown

In addition to Tangier, shooting locations include Madrid, Paris, New York, London and Riga, the capital of Latvia.

International star Bernal has starred in Amores Perros, Y Tu Mama Tambien and The Motorcycle Diaries. This fall he will appear in Michel Gondry's The Science of Sleep and Babel.

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