Sandra Záhlavová in the first round, before being swept aside by Julia Görges 6–2, 6–4. In Melbourne, she defeated CoCo Vandeweghe and 26th seed María José Martínez Sánchez in straight sets en route to the third round the Australian Open, where she was defeated by eventual champion Kim Clijsters. Cornet then headed to Moscow for the quarterfinals of the Fed Cup against Russia. She defeated two-time Grand Slam champion Svetlana Kuznetsova in three sets for her biggest win in nearly a year and one of the biggest of her career. However, she lost her second singles match to Anastasia Pavlyuchenkova. In doubles, partnering Julie Coin, she lost to Pavlyuchenkova and Kuznetsova in straight sets. Paris was Cornet's next destination. As the home favorite, her fans were greatly upset when she was sent crashing out to Sofia Arvidsson in the first round. At the same tournament she reached the semifinals with Virginie Razzano in doubles. As a result, she reached a career-high ranking of No. 59 in doubles on 7 March 2011. In singles, her bad run continued when she lost in the second round of the Monterrey Open to Anastasija Sevastova. But then, her form improved when she headed to Indian Wells. In the first round of qualifications she defeated Han Xinyun, followed by another win over Vesna Dolonts. In the first round of the main draw, she had a decisive two-sets victory over former top ten player Patty Schnyder, and backed it up by winning a tough match against 2010 Wimbledon semifinalist Tsvetana Pironkova in three sets, to advance to the third round, where she was sent crashing out of the tournament by fifth seed Francesca Schiavone in two sets. At the Miami Open, she fell in the first round to Virginie Razzano. At the Family Circle Cup she again suffered an early elimination in the first round by Arvidsson, for the second time that year. Seeded eighth at the Morocco Open, Cornet was beaten by former world No. 1, Dinara Safina, in the second round. Cornet's disastrous run continued when she lost in the first qualifying rounds of the Madrid Open and the Italian Open. She then defeated Sania Mirza in the Internationaux de Strasbourg, before falling to Nadia Petrova in three sets in the second round. At the French Open, she defeated Renata Voráčová in the first round but was then crushed by qualifier Nuria Llagostera Vives