Zheng, ranked No 7, will face German Jule Niemeier next.

The 21-year-old Chinese defeated American wildcard Amanda Anisimova (4-6, 6-4, 6-2) in the previous round.

In the previous round, Andreeva, ranked No 75, beat Chinese Yue Yuan (6-3, 7-6 (7)).

New York (Grand Slam), other second-round results (USTA Billie Jean King National Tennis Center, hard, USD 75.000.000, most recent results first):

• Caroline Wozniacki vs. Renata Zarazua
• Naomi Osaka vs. Karolina Muchova
• Elena Rybakina vs. Jessika Ponchet
• Elisabetta Cocciaretto vs. Anastasia Pavlyuchenkova
• Sofia Kenin vs. Jessica Pegula
• Iga Swiatek vs. Ena Shibahara
• Karolina Pliskova vs. Jasmine Paolini
• Varvara Lepchenko vs. Anastasia Potapova
• Beatriz Haddad Maia vs. Sara Sorribes Tormo
• Katie Boulter vs. Jessica Bouzas Maneiro
• Caroline Dolehide vs. Sara Errani
• Marie Bouzkova vs. Liudmila Samsonova
• Mirra Andreeva vs. Ashlyn Krueger
• Yulia Putintseva vs. Xinyu Wang
• Anna Bondar vs. Anna Kalinskaya
• Clara Tauson vs. Diana Shnaider
• Tatjana Maria vs. Coco Gauff
• Victoria Azarenka vs. Clara Burel
• Peyton Stearns vs. Daria Kasatkina
• Elina Svitolina vs. Anhelina Kalinina
• Lucia Bronzetti vs. Aryna Sabalenka
• Donna Vekic vs. Greet Minnen
• Emma Navarro vs. Arantxa Rus
• Ekaterina Alexandrova vs. Iva Jovic: wednesday
• Harriet Dart vs. Marta Kostyuk: wednesday
• Diane Parry vs. Yafan Wang: wednesday
• Madison Keys (14) beat Maya Joint (Q): 6-4, 6-0
• Elise Mertens (33) beat Ajla Tomljanovic: 6-3, 6-2
• Jule Niemeier beat Moyuka Uchijima: 6-4, 6-0
• Paula Badosa (26) beat Taylor Townsend: 6-3, 7-5
• Elena-Gabriela Ruse (Q) beat Barbora Krejcikova (8): 6-4, 7-5