The Bourne Identity by Robert Ludlum

The story of a man (Matt Damon), salvaged, near death, from the ocean by an Italian fishing boat. When he recuperates, the man suffers from total amnesia, without identity or background... except for a range of extraordinary talents in fighting, linguistic skills and self-defense that speak of a dangerous past. He sets out on a desperate search-assisted by the initially rebellious Marie (Franka Potente) - to discover who he really is, and why he's being lethally pursued by assassins.