The Hollywood Reporter said the movie, which is about a group of American high-school students fighting for survival after their town is invaded by Chinese and Russian soldiers, is slated to start shooting in September.
Chris Hemsworth was previously cast in the remake.
The entertainment industry trade newspaper said Peck from TV's "Drake & Josh," Palicki from "Friday Night Lights" and Hemsworth from "Star Trek" will play the characters originated by Sheen, Grey and Swayze respectively.
The new version of the picture is to be released in U.S. theaters Sept. 24, 2010.
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