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Orci and Kurtzman wrote the script for the new movie, while Lindolof is a producer on Star Trek and co-created Lost with director J.J. Abrams.
No deal is in place for Abrams to return to the Trek director's chair, though he is expected to produce the follow-up through his Bad Robot firm.
Speaking to Variety about the sequel, Kurtzman said: "Obviously we discussed ideas, but we are waiting to see how audiences respond next month.
"With a franchise rebirth, the first movie has to be about origin. But with a second, you have the opportunity to explore incredibly exciting things. We'll be ambitious about what we'll do."
Star Trek is released in cinemas on May 8, with the sequel targeted for a summer 2011 debut.
> Click here for our complete Star Trek coverage
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