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Giorgi reached her first WTA Tour final at the Katowice Open in 2014. The tournament is held annually in Katowice, Poland, and is part of the WTA International Series. Giorgi defeated several top players en route to the final, including Agnieszka Radwańska and Petra Kvitová. She ultimately lost to Alizé Cornet in the final, but her performance at the tournament marked a significant breakthrough in her career.