PARIS, France - The Roland Garros quarterfinals are set and three women - No.1 Simona Halep, No.2 Caroline Wozniacki, and No.3 Garbiñe Muguruza - still have a chance to leave the City of Lights with the No.1 ranking. 

At the start of the tournament, six players had a chance at claiming the WTA World No.1 Ranking at the French Open. After four rounds of play, Elina Svitolina, Caroline Garcia, and Karolina Pliskova no longer are in contention for the top spot.

Despite her loss to Daria Kasatkina in the Round of 16 on Monday, Australian Open champion Wozniacki is still in with a shot of retaking the No.1 ranking from Halep on the Monday after the French Open. 

Simona Halep has advanced to the Roland Garros quarterfinals for the third time in her career. Each time she has advanced to this stage in Paris she has gone on to make the final. If she does so again this year, she will clinch the No.1 ranking outright. 

Simona Halep is looking to make her fourth major final. (Getty Images)

Halep must reach the semifinals to keep her No.1 bid alive, while Muguruza, a champion here in 2016, must reach the final to claim the top spot for the first time since October 2017. 

Halep faces No.12 Angelique Kerber on Wednesday, a rematch of their epic semifinal clash at the Australian Open, which Halep won 6-3, 4-6, 9-7 to make her third major final. Kerber leads the head-to-head 5-4. The Romanian must beat Kerber to keep her No.1 bid alive. 

Garbiñe Muguruza will be looking for her first win over Maria Sharapova in the quarterfinals. (Getty Images)

Muguruza faces No.28 Maria Sharapova on Wednesday as well. Sharapova has won all three of their matches, but since their last meeting in 2014, Muguruza has gone on to win two Slams and ascend to No.1. 

The Spaniard is into her third Roland Garros quarterfinal in four years and has yet to lose a set during the fortnight. A Muguruza loss combined with a Halep win would seal the top spot for Halep. 

Halep and Muguruza are both in the top half of the draw. Should they face off in the semifinals, the winner would clinch the No.1 ranking. 

If Halep fails to reach the semifinals and Muguruza fails to reach the final, Wozniacki will return to No.1 on Monday.