In the 2013–14 season, she won a silver medal in the 2014 Ciudad de Barcelona. She advanced to the quarter-finals in the European Championships in Strasbourg, but was stopped by host France's Joséphine Jacques-André-Coquin. In the team event, Russia received a bye in the table of 16, then had a tight 34–33 victory over Poland. They largely prevailed over reigning European champions Estonia in the semi-final to meet Romania in the final. Zvereva fenced World No.2 Ana Maria Brânză in her last leg and gave her team a three-hit advantage, but Russia were finally defeated 38–34 and took the silver medal. At the World Championships in Kazan she was defeated by China's Qin Xue in the second round of the individual event. In the team event Russia edged out South Korea in the quarter-finals, then largely prevailed over Hungary and Estonia to win the World title for the second time in a row.