Both will play their second-round singles matches on Thursday.
Maria Sharapova played aggressively from the start to win her first title since last year's French Open with a 6-2, 6-2 demolition of Caroline Wozniacki in the BNP Paribas Open final on Sunday.
Italian Camila Giorgi has now beaten the Australian Open champion in each of their three hardcourt meetings.
Sara Errani beat doubles partner Roberta Vinci 6-3, 6-3 in a subdued all-Italian semi-final at the Dubai championships on Friday.
Czech Petra Kvitova defeated titleholder Agnieszka Radwanska 6-2, 6-4 in the Dubai Championships on Thursday to set up a semi-final against Caroline Wozniacki.
Defending champion Caroline Wozniacki and former winner Maria Sharapova cruised into the third round of the Indian Wells WTA tournament with 6-2, 6-0 victories on Saturday.
Since reaching the Australian Open semi-finals in 2011, Wozniacki had fallen one round earlier in each subsequent visit to Melbourne Park - which meant her journey to this season's opening Grand Slam was full of trepidation.
Caroline Wozniacki was the latest player left spread-eagled on the slippery All England Club turf as she limped out of Wimbledon following a 6-2, 6-2 second-round defeat by Czech Petra Cetkovska on Wednesday.
Olympic bronze medallist Saina Nehwal is placed fourth in the list headed by American tennis legend Serena Williams followed by Maria Sharapova and elder sister Venus.
Victoria Azarenka sank to her knees in disbelieving triumph after winning her first grand slam singles title with a one-sided victory over Maria Sharapova in the Australian Open final on Saturday.
Serena Williams has broken her silence on Caroline Wozniacki's parody of her, saying that she did not find the impersonation racist.
Russia's Nadia Petrova thrashed top-seeded Dane Caroline Wozniacki 6-2, 6-1 on Sunday to secure her maiden Tournament of Champions trophy and a 13th career title.
Serena and Venus Williams set up a tantalising semi-final against each other after both won twice on Friday in the rain-affected Family Circle Cup in Charleston, South Carolina.
Maria Sharapova rose to No. 2 in the rankings on Monday after her impressive title run at the BNP Paribas Open but says she is motivated much more by Grand Slam glory than the prospect of regaining the top spot.
Former champion Caroline Wozniacki battled through a marathon encounter to upset fourth-seeded German Angelique Kerber 2-6, 6-4, 7-5 on Friday and reach her third BNP Paribas Open final in four years.
Having had her own fair share of knocks in recent months while struggling for form on the tennis court, Caroline Wozniacki sprang to the defence of her golfing boyfriend Rory McIlroy in his time of trouble on Wednesday.
Breeze though the outfits that caught the maximum shutterbugs at the final Grand Slam of the year.
World No. 1 Victoria Azarenka and Maria Sharapova stayed on track for a mouth-watering showdown in the final of the Indian Wells WTA tournament while defending champion Caroline Wozniacki was beaten by Ana Ivanovic on Tuesday.
Check out the sexiest female tennis players at this year's French Open.
Denmark's Caroline Wozniacki claimed her 20th career title by beating top seed Samantha Stosur 6-2, 4-6, 7-5 in a thrilling Kremlin Cup tennis final on Sunday.
Top seed Samantha Stosur reached her first final in eight months with a comeback 2-6, 6-3, 6-2 win over fourth-seeded Serbian Ana Ivanovic in the Kremlin Cup semi-finals on Saturday.
Serena Williams was once again on the stage but this time it was her own fashion show during New York Fashion Week.
'In the beginning, it was a shock. You feel like you're the fittest athlete out there, that's what I'm known for, and all of a sudden you have this to work with'
Late-blooming Johanna Konta won the biggest title of her career when she beat Caroline Wozniacki 6-4, 6-3 in the women's final at the Miami Open on Saturday.
Images from the quarter-final matches played at the Australian Open at Melbourne Park on Tuesday
Nobody feels that Caroline Wozniacki is the rightful World No 1 and the Dane owes her top ranking to a flawed WTA system, according to Martina Navratilova.
Top seed Caroline Wozniacki will play 107th-ranked local Anastasia Rodionova in the first round of the Australian Open when she begins her bid for a maiden Grand Slam title.
Elena Vesnina denied Venus Williams another comeback win, while Kristina Mladenovic roared back from a set and a break down to beat Caroline Wozniacki on Thursday to reach the semi-finals of the BNP Paribas Open at Indian Wells.
Serena Williams overcame a lethargic start to upset fellow former World No 1 Caroline Wozniacki at the Madrid Open on Thursday and set up a quarter-final meeting with old foe Maria Sharapova.
World number one Victoria Azarenka moved into the Stuttgart indoor tournament quarter-finals on Thursday as sixth seed Caroline Wozniacki was upset by Angelique Kerber.
It's the most popular Grand Slam across popular social networking sites
Defending champion Caroline Wozniacki suffered a humiliating 3-6, 6-0, 7-6 defeat in the China Open quarter-finals as Italian Flavia Pennetta ran rampant on Friday.
Maria Sharapova advanced to the Sony Ericsson Open final by beating Caroline Wozniacki 4-6, 6-2, 6-4 on Thursday in a two and a half hour battle.
Gauff vows to be more aggressive in Osaka showdown
Pakistan tennis ace Aisam-ul-Haq Qureshi has roped in the support of top stars such as Roger Federer, Rafael Nadal and Novak Djokovic for a charity auction to raise funds for the flood victims in the country.
Just like Hollywood stars, the personal lives of tennis players have garnered a lot of media attention and speculation. Rediff.com gives you a glimpse of players who have dated or married persons from the tennis fraternity and from other sporting disciplines.
World number one Caroline Wozniacki might have been better off asking Serena Williams about how to win the biggest tournaments instead of seeking guidance about relationships.
The Cincinnati Open claimed two more high-profile victims on Thursday with Grand Slam champions Li Na and Petra Kvitova crashing out, while Russian pair Maria Sharapova and Vera Zvonareva crunched their opponents en route to the quarter-finals.
A big puff of pizzazz seeped out of the Cincinnati Open on Thursday as its top seed Caroline Wozniacki slipped out and star attraction Serena Williams quit the tournament, along with third seed Victoria Azarenka.
Caroline Wozniacki continued her news conference shenanigans at the Australian Open on Sunday, telling a tale of being scratched by a kangaroo and then later admitting on social networking website Twitter she had concocted the whole thing.