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He won the Dortmund Sparkassen Chess Meeting in 2002 and, with Kramnik, the Linares tournament in 2003.
Under the terms of the so-called "Prague Agreement", masterminded by Yasser Seirawan, and intended to unite the two World Chess Championships, Léko's 2002 win at Dortmund qualifies him to play a match against Vladimir Kramnik. The winner of this match will then play the winner of a match between Gary Kasparov and the next FIDE world champion to decide the undisputed world champion. After several delays, it was announced in January 2004 that his match against Kramnik would be held in September-October, 2004.