Venues Williams set up a fourth round clash with Australian hope Alicia Molik, while Lindsay Davenport will face Karolina Sprem.
The 26-year-old first reached the top last October but lost the spot 16 weeks later having not hoisted a Grand Slam trophy.
Big-serving Canadian Milos Raonic fired 19 aces to topple Sam Querrey 6-4, 6-4 and set up a second-round clash with either Dan Evans or Russian 10th seed Andrey Rublev.
Summary of sports events and persons who made news on Monday
A abdominal strain forced the former world No.1 to withdraw from the elite eight-woman event.\n\n
She upset Saori Obata of Japan in the first round of the main draw at the US Open.
Venus Williams, the 2000 and 2001 champion was shocked by Croatia's Karolina Sprem in the second round at Wimbledon.
Revenge will again be in the air when the top seed meets Henin in a semi-final grudge rematch on Thursday.
Kim Clijsters swept past doubles partner Ai Sugiyama of Japan 6-3, 6-2.
Serena Williams overpowered German Carina Witthoeft 6-2, 6-2 to set up a third-round clash with big sister Venus at the US Open on Wednesday.
Less than a month after her run to the Wimbledon final, where she lost to Spain's Garbine Muguruza, 37-year-old Williams again had to turn back time against a young challenger.
Garbine Muguruza has to be the one taking charge in the Australian Open final against "fighter" Sofia Kenin if she is to win her third Grand Slam title, the Spaniard's coach Conchita Martinez said.
Marion Bartoli stormed into her second Wimbledon final after routing Kirsten Flipkens of Belgium in straight sets in the first semi-final of the women's singles in London, on Thursday.
Images from Day 3 of the French Open matches played at Roland Garros on Tuesday
The world number two secured her first title in Belgium by defeating Italy's Silvia Farina Elia 6-3 6-0 to win the Antwerp Diamond Games.
The former world No. 1, after half a year out of the limelight, put in a punishing practice session on an outside court at Melbourne Park on Wednesday.
Venus and Serena have not been beaten as a pair for 16 months now.
She beat fifth seed Justine Henin-Hardenne 6-3 6-3 in 74 minutes.
Alexander Zverev got the better of older brother Mischa at the Citi Open in Washington on Thursday, winning their first meeting at an ATP Tour event 6-3, 7-5.
Sania Mirza and Rohan Bopanna, who are touted as India's best bet for a tennis medal in the 2016 Rio Summer Olympics, have been seeded fourth and will be up against the Australian duo of Samantha Stosur and John Peers in their opening mixed doubles match at the Games.
The 2000 and 2001 champion will be gunning for revenge when play starts on Centre Court at 1400 GMT.\n\n
The sisters are doing it for themselves but their styles could not be more different on and off court
"So far I like what I see. But I think with Venus, if she could just go to net more often," said the six-time Wimbledon champ.
Breeze though the outfits that caught the maximum shutterbugs at the final Grand Slam of the year.
The French top seed beat the American 4-6, 7-5, 6-4 in the final of the Antwerp Diamond Games.
U.S. captain Billie Jean King called up the big guns for the tie against the Czech Republic.
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