If she beats Barty, 11th seed Julia Goerges could be next, and then there is the possibility of a fourth-round clash with twice former champion Maria Sharapova. "When I was out there, that's all I was just trying to do, is just do that". She recently played her first Grand Slam match since the 2017 Australian Open when she played Karolina Pliskova at Roland Garros.
"I lost the first set and I thought "I've got to try harder", she said. Who makes the rules?
Williams is now cruising through the opening stages of the 2018 French Open and has attracted attention for her Black Panther style catsuit, an outfit that makes her feel "like a warrior princess" from Wakanda.
However, her game failed to match her impressive outfit in the first set, where she was broken in the sixth game by the Australian.
The Russian, victor in Paris in 2012 and 2014, is seeded at a major for the first time since testing positive for meldonium two years ago.
Sharapova had struggled on serve in her opening wins over Richel Hogenkamp and Donna Vekic, and she was broken in the very first game of the match.
"I will be back tomorrow to play doubles with Venus".
The 36-year-old Williams, now ranked at 451 in the world, boasts a 2-0 career lead over Georges.
Last year's victor, Latvia's 20-year-old Jelena Ostapenko, notably crashed out in her first round match against Kateryna Kozlova.
The match is a repeat of Nadal's straight-sets victory at the same third-round stage the last time they met in Paris back in 2005.
Baby Alexis' dad, Alexis Ohanian, was there at the French Open too, but he had to leave on Wednesday to get back to work in San Francisco.
The 31-year-old is next to face home favorite Gasquet, his old junior rival who Nadal has beaten 15 times in as many meetings in professional tennis.
Halep, who is now ranked No. 1 in WTA ranking, defeated Taylor Townsend, 6-3, 6-1, to progress to the next round of the Roland Garros series.
Top-seeded Simona Halep later faced Andrea Petkovic of Germany on the new Court 18.
Kontaveit will next meet US Open champion Sloane Stephens, who has enjoyed a resurgence in form, after the American passed a stern test with a 4-6 6-1 8-6 victory against Camila Giorgi.