Alize Cornet eased past Kateryna Kozlova in the opening round of the Bronx Open.
Naomi Osaka's latest reign as world number one looks to be a short one, with Ashleigh Barty close to dethroning the Japanese.
Naomi Osaka and Ashleigh Barty won through as Madison Keys overcame Simona Halep at the Western & Southern Open.
It was a good day for the seeds at the Western & Southern Open as Naomi Osaka, Simona Halep and Ashleigh Barty advanced.
Venus Williams upset Kiki Bertens as five seeds fell at the Western & Southern Open.
Serena Williams' back is "still not right", leading to her withdrawal from the Western & Southern Open.
Having sparkled at Wimbledon, 15-year-old American Coco Gauff will get another chance at her home grand slam, the US Open.
Caroline Wozniacki was no match for Dayana Yastremska, while Maria Sharapova reached the second round on Monday.
Serena Williams retired hurt in the Rogers Cup final, handing Bianca Andreescu her second title and seventh career win over a top-10 player.
After retiring during the Rogers Cup final, Serena Williams was hopeful about her back injury.