Udrea joined the national Romanian épée team after the reshuffling that followed the London 2012 Summer Olympics. In December 2012 she won the gold medal in the Belgrade Trophy, a satellite event of the Fencing World Cup. In 2013, she earned a bronze in the team competition of the Saint-Maur World Cup. With her club, CSA Steaua București, she ranked second in the European Cup in Naples. In March 2013, she won a silver medal in the Romanian national championship after being defeated in the final by teammate Ana Maria Brânză, with which she won a team gold medal. In July, Udrea won a silver team medal with Brânză, Simona Pop and Amalia Tătăran in the 2013 European Championships in Zagreb. In the 2013 World Championships at Budapest, she was defeated in the table of 32 by Italy's Rossella Fiamingo, but earned the team bronze. She ended up 47th in the 2012–13 Fencing World Cup.