In other second-round results, Danielle Lao of the United States advanced to the next round when No.1 seed Margarita Gasparyan of Russia retired from their match while trailing 4-2.

No.2 seed Jennifer Brady picked up a 6-2, 7-5 victory over fellow American Quinn Gleason on Wednesday. Brady won 78 percent of points off of her first serve and notched nearly two-thirds of points off of Gleason’s second serve during their clash.

Other seeded players joined Brady and Davis in the third round. No.5 seed Pauline Parmentier of France defeated American Catherine Harrison, 7-5, 6-4, No.6 seed Sara Sorribes Tormo of Spain beat American Jamie Loeb, 6-1, 6-3, No.7 seed Anna Blinkova of Russia overcame Japan’s Mayo Hibi, 5-7, 6-3, 6-2, and No.9 seed Astra Sharma beat Ellen Perez, 6-4, 6-4, in an all-Australian affair.

Also, No.11 seed Heather Watson of Great Britain ousted Germany’s Anna-Lena Friedsam, 6-4, 6-3, No.12 seed Christina McHale of the United States beat Russia’s Valeria Savinykh, 7-6(4), 6-1, and No.15 seed Varvara Lepchenko of the United States outlasted Spaniard Lara Arruabarrena, 6-1, 4-6, 6-4.

Usue Maitane Arconada of the United States upset No.4 seed Tatjana Maria of Germany, 6-2, 6-2, to claim a spot in the round of 16. Arconada will face former Top 50 player Jana Cepelova of Slovakia, after Cepelova dispatched American Rosalyn Small, 6-0, 6-0. Cepelova won a perfect 21 of 21 points when she got her first serve into play.

Two other Americans upset seeded players: teenager Ann Li defeated No.10 seed Aliona Bolsova of Spain, 2-6, 6-4, 6-2, and Nicole Gibbs knocked out her 14th-seeded compatriot Whitney Osuigwe, 6-1, 6-3. Gibbs, who fell to Simona Halep in three sets in the first round of the US Open while on the comeback trail after salivary gland cancer surgery, will meet her countrywoman Brady in the round of 16.