Predator 2 versus Talec....
The second Predator versus Talec from "I come in Peace."
http://www.imdb.com/title/tt0099817/
Talec:
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The Predator has won, he has beaten Danny Glover and the others, he is unharmed and still has his arm. He is on his way back to his ship when he sees Talec, the giant alien from "I come in Peace", killing someone. As Talec withdraws the endorphin draining device from his victims forehead, he hears a THUD behind him. Turning around, he sees the Predator. Simple, the Predator wants to make Talec his next trophy, while Talec wants the Predators endorphins.
The fight takes place in an abandoned multilevel parking garage, fully lit. The Predators cloaking device has been damaged. He has all his weapons minus the wrist nuke. Talec has all his weapons, including his big ass machine gun with exploding rounds, and the wrist mounted magnetic disc thrower thingie.