In September and October 2010, Polgár played 3rd board for the Hungarian Men's team in the 39th Chess Olympiad in Khanty-Mansiysk, Russia. The team finished in fourth place losing the Bronze medal to Israel on tie-break. Playing more in 2010 than in recent years, Polgár finished fourth overall among Board three players with a 6/10 score. The highlight for the Hungarian Men's team was a fifth-round victory over Russia I. In November 2010, Polgár won the four-player rapid tournament which was held to celebrate the National University of Mexico's 100th anniversary. Polgár won a close opening match against Vassily Ivanchuk. She then crushed Veselin Topalov, a former world champion and ranked No. 1 in the world in 2009, 3½–½ to win the tournament.