Top seed Andy Murray could meet Roger Federer or Kei Nishikori in the third round, while Serena faces tricky Belinda Bencic in opening round
Romania's Simona Halep kicked off her campaign for a maiden WTA Finals title in emphatic fashion with a thumping 6-0, 6-3 victory over US Open champion Flavia Pennetta in the opening match of the eight-woman season-ending tournament on Sunday.
China's Li Na allowed herself a small smile of satisfaction after she advanced to her fourth Australian Open semi-final on Tuesday, mindful that an inquisition from coach Carlos Rodriguez earlier in the tournament had helped her get there.
World number five Juan Martin del Potro began his 2014 season with a win, albeit a scrappy one over Frenchman Nicolas Mahut to advance to the quarter-finals of the Sydney International on Wednesday.
Australia's Samantha Stosur failed to allay fears she could be heading for another early exit at her home Grand Slam with a scrappy performance in Hobart while a trio of big names tumbled out of the Sydney International on Monday.
Serena Williams is third on the list of female Grand Slam title winners. She is one of only five women, after Maureen Connolly, Margaret Court, Martina Navratilova and Steffi Graf, to hold all four Grand Slam titles at same time.
American Serena Williams won her seventh Wimbledon singles crown, and equalled the professional era record of 22 grand slam titles, with a 7-5, 6-3 victory over Germany's Angelique Kerber on Saturday:
Top seed Serena Williams made short work of Kazakhstan's Zarina Diyas in the third round of the BNP Paribas Open.
A long measure of Grand Slam patience paid off for Peng Shuai of China, who reached the semi-finals of the US Open on Tuesday by routing Swiss teenager Belinda Bencic 6-2, 6-1 in the Flushing Meadows heat.
The Frenchman, seeded five, had no answer to left-hander Muller's swinging serve as he bowed out 6-4, 6-4.
Defending champion Serena Williams is the top seed in the women's draw. The American will be looking to equal Steffi Graf's Open era record by sealing a 22nd Grand Slam triumph.
World number one Simona Halep saved three match-points before edging past an inspired Lauren Davis 4-6, 6-4, 15-13 in a thrilling marathon to reach the fourth round of the Australian Open on Saturday.
Serena Williams did not smile, celebrate or even acknowledge the standing ovation she was receiving from the roaring crowd as she watched Timea Bacsinszky's backhand float out on match point at the French Open on Thursday.
Roger Federer and Maria Sharapova glittered under the Rod Laver Arena lights on Monday, restoring order at the Australian Open after eight women's seeds crashed out in the afternoon sun on a manic opening day. The evergreen Federer strolled into the second round with a classy 6-4, 6-2, 7-5 win over Taiwan's Lu Yen-Hsun before fellow-second seed Sharapova ruined Croatian qualifier Petra Martic's 24th birthday with a 6-4, 6-1 victory.
A quick guide into the life of Serena Williams, the GOAT - The Greatest of All Time!
List of French Open women's singles champions:
Top seed Agnieszka Radwanska's title defence at the Sydney International lasted just 92 minutes when she was dumped out of the second round by Bethanie Mattek-Sands on Tuesday.
The British number one will play Croatian Donna Vekic, 7-6(5), 3-6, 7-6(4) victor over Czech Lucie Safarova in the day's second semi-final, in the climax to the Wimbledon warm-up tournament on Sunday.
Roger Federer continued his smooth progress at the French Open on Friday with a straightforward 6-4, 6-3, 6-2 defeat of Bosnian Damir Dzumhur to reach the fourth round.
Factbox on American Serena Williams, who plays sister Venus in the final of the Australian Open on Saturday.
List of French Open women's singles champions
Simona Halep became the first Romanian in 40 years to lift the French Open trophy at Roland Garros on Saturday.
A day after celebrating his 36th birthday, Federer played the aggressive game that has propelled him to five titles, including two grand slams, this year, attacking the net and rocketing second serves.
Roger Federer glided to victory on another hot, steamy day at the US Open, the envy of a clutch of men's players made to work overtime on Tuesday at the season's final Grand Slam.
Photos from Day 5 action at the Western & Southern Open at Cincinnati on Thursday.
Stanislas Wawrinka had to dig deep to beat Borna Coric at the Western & Southern Open in Cincinnati on Wednesday and conceded his thoughts had been far from tennis over the past few days.
Photos from French Open matches played at the Roland Garros on Friday
Rafael Nadal easily avoided the embarrassment of a back-to-back first round exits at the Australian Open on Tuesday, ramping up his serve and rattling off 39 winners to beat Florian Mayer 6-3, 6-4, 6-1 on Rod Laver Arena.
List of French Open women's singles champions
The women's draw at the US Open has been in news for the upsets it created. Almost everyday one or some days even two of the top seeds feel to unknown players.
Playing tennis professionally can be difficult physically, mentally and emotionally. But the tennis courts have often been the venue for for blossoming romance as love-struck couples decide it is game, set and match.
Alize Cornet fought tooth and nail but the local favourite's French Open run came to an end when she was knocked out 6-2, 7-6(9) in the fourth round by Ukrainian 19th seed Elina Svitolina on Sunday.
The ATP issued the latest men's tennis rankings on Monday and the top 10 list remains unchanged with Serbian tennis ace Novak Djokovic still leading the rankings.
Defending champion Novak Djokovic moved confidently into the second round of Wimbledon with a 6-4, 6-4, 6-4 win over German Philipp Kohlschreiber on Monday.
Croatian ninth seed Marin Cilic reached the Wimbledon quarter-finals for the third year running after Kei Nishikori quit with a rib injury midway through their fourth round match on Monday.
Dani Alves has blamed the media for Brazil's unsuccessful World Cup campaign but conceded that the team did not prepare properly ahead of the humiliating 7-1 defeat by Germany in the semi-final.