Caroline Garcia's French Open run is over following a quarter-final defeat to Karolina Pliskova.
"I feel like I can play well on any surface," said Caroline Wozniacki after reaching the French Open quarter-finals.
A second-round clash between the Williams sisters will not take place in Rome after Serena suffered another injury setback.
Roger Federer hardly put a foot wrong in his long-awaited comeback on clay, not facing a single break point against Richard Gasquet.
Three-time champion Petra Kvitova was able to get past Kristina Mladenovic in Madrid.
Serena Williams was aghast at umpire Carlos Ramos giving her a game penalty in the US Open final, but the ITF has backed him.
A hike in the French mountains was key to US Open champion Novak Djokovic's return to form this year.
Margaret Court believes being outplayed by Naomi Osaka led to Serena Williams' meltdown in Saturday's dramatic US Open final.
Serena Williams suggested she had been treated more harshly than male players during the US Open final and Billie Jean King agrees.
Amid speculation he may have been unwell, Roger Federer said he simply struggled with the heat at the US Open.
Venus Williams advances to the quarterfinals in the Italian Open after a three set battle with her British opponent.