Gladiator Cop (1995)

Andrew Garret is a cop trying to reveal the background of secret killing fights named "Game". He takes part in the fights under the nickname Gladiator. One of the Game bosses, Parmenion, wants him to fight with the ancient sword that once belonged to Alexander the Great against his own fighter Mongol to recall the 2000 years old duel between Alexander and his enemy whose re-incarnations he believes to be Andrew Garrett and himself.