Danish wildcard Caroline Wozniacki continued her sparkling comeback on Wednesday evening under the lights at the US Open with an upset win over No 11 seed Petra Kvitova to reach the third round at Flushing Meadows in New York.

The former world No 1 and Grand Slam champion won 7-5, 7-6 (5) for her seventh win in 15 career meetings over Kvitova and will play another player on the comeback trail – the American Jennifer Brady – next.

This is only Wozniacki’s third tournament after her return – she improves to three wins out of five matches since her comeback began at the Canadian Open earlier this month.

In the first round of the Flushing Meadow tournament, the 33-year-old Dane, back after three and a half years during which she had two kids, Beat Russian qualifier Tatiana Prozorova (6-3, 6-2).

Kvitova, ranked No 11, won against Spaniard Cristina Bucsa (6-1, 7-6 (5)) in the previous round in New York.

New York (Grand Slam), other second-round matches (USTA Billie Jean King National Tennis Center, hard, USD 44,700,000, most recent results first):

• Jelena Ostapenko (20) beat Elina Avanesyan: 6-3, 5-7, 7-5
• Jennifer Brady beat Magda Linette (24): 6-1, 2-6, 6-2
• Elena Rybakina vs. Ajla Tomljanovic
• Bernarda Pera beat Xiyu Wang: 3-6, 7-6 (5), 6-2
• Lin Zhu beat Victoria Azarenka (18): 6-3, 6-3
• Sorana Cirstea (30) beat Anna Kalinskaya: 6-3, 6-4
• Iga Swiatek (1) beat Daria Saville: 6-3, 6-4
• Karolina Muchova (10) beat Magdalena Frech: 6-3, 6-3
• Anna Karolina Schmiedlova beat Rebeka Masarova: 7-6, 6-2
• Xinyu Wang beat Sara Sorribes Tormo: 5-7, 6-3, 6-4
• Coco Gauff (6) beat Mirra Andreeva: 6-3, 6-2
• Belinda Bencic (15) beat Yuriko Miyazaki (Q): 6-3, 6-3
• Kaja Juvan (Q) beat Lauren Davis: 6-7 (3), 6-4, 6-3
• Taylor Townsend beat Beatriz Haddad Maia (19): 7-6 (1), 7-5
• Elise Mertens (32) beat Danielle Collins: 3-6, 7-6 (7), 6-1
• Patricia Maria Tig vs. Jessica Pegula
• Daria Kasatkina vs. Sofia Kenin
• Greet Minnen vs. Sachia Vickery
• Ons Jabeur vs. Linda Noskova
• Petra Martic vs. Marie Bouzkova
• Elina Svitolina vs. Anastasia Pavlyuchenkova
• Yanina Wickmayer vs. Madison Keys
• Jodie Burrage vs. Aryna Sabalenka
• Martina Trevisan vs. Marketa Vondrousova
• Karolina Pliskova vs. Clara Burel
• Eva Lys vs. Lucia Bronzetti
• Liudmila Samsonova vs. Tamara Korpatsch
• Ekaterina Alexandrova vs. Lesia Tsurenko
• Qinwen Zheng vs. Kaia Kanepi
• Peyton Stearns vs. Clara Tauson
• Yafan Wang vs. Katie Boulter