PARIS — For the second time in three days, Serena Williams came back from the brink at the French Open.

Less than 48 hours after the world No. 1 and two-time champion here had rallied from a set and 4-2 deficit against rival Victoria Azarenka on Court Philippe Chatrier, Williams did much the same against countrywoman Sloane Stephens, winning to advance to the quarterfinals, 1-6, 7-5, 6-3.

Williams was three points from defeat against Stephens, serving at 4-5 down in the second and love-15. But she’d win the next four points in that game, and then another two games in a row to secure the second set and send the match into a third.

The win moves Williams, a 19-time major winner at age 33, to 5-1 head-to-head against her compatriot.

What it means: Williams becomes an even bigger favorite than she had been to start this tournament after Maria Sharapova, the No. 2 seed, fell victim earlier in the day. No. 4 seed Petra Kvitova (still in the fourth round) and No. 7 Ana Ivanovic (quarterfinals) are the only other women remaining who have won a Grand Slam.

It’s the third time in as many matches this week that Williams has come from a set down, needing to do so in a second-round clash with Anna-Lena Friedsam. She’ll face 2012 finalist Sara Errani, the No. 17 seed, in the quarterfinals.

It was the sixth installment of this head-to-head matchup, with Williams’ only loss coming in the 2013 Australian Open quarterfinals to a then-teenaged Stephens.

Their friendship turned frosty thereafter, Stephens airing grievances in a magazine article. Earlier this year, the 22-year-old described Williams as a “colleague.”

How it happened: Williams began flat and unsure, hitting 15 unforced errors to just two from Stephens to give the younger American the first set, 6-1 in just 23 minutes.

Down 4-5 in the second set, Williams held her serve, then cruised to the second 7-5 to even the match. In the third, it was Williams’ experience that won out, with the veteran putting her foot on the gas as Stephens tried to keep up. The world No. 1 forced a backhand error into the net from Stephens to end the match, raising her arms above her head in triumph.

Williams continues to chase Steffi Graf’s Open era record of 22 majors and – having won the Australian Open earlier this year – is still on course for a calendar-year Slam in 2015, something she has never achieved in her career.

Key stat: Williams cleaned up the unforced errors down the stretch, her aggression eventually paying off as she cracked 25 winners – the same tally as Stephens. Williams went 13 for 20 at the net and also won more of the longer points, going 13 for 21 in rallies that lasted longer than nine shots.

What they said:”I feel like I’m living on the edge,” Williams said of the win. It was the third straight come-from-behind three-set victory for Williams this tournament, marking the first time she’s done that at a major since the U.S. Open in 1999.

“But, you know, I’ve got to get off the edge. I don’t like to take chances, but at the same time this is also helping me, I guess, in terms of knowing that, ‘Oh, I know can I play a two-hour match, I can do that.'”

Williams moves to 29-1 in 2015 and 10-0 in three-set matches.

“There’s a reason why she’s the No. 1 player in the world,” added Stephens. “I played a good first set. I hung in there tough, but obviously things change and whatever. But I was happy that I was able to, you know, hang tough the whole time.”

Serena Jameka Williams (born September 26, 1981) is an American professional tennis player who is currently ranked No. 1 in women’s singles tennis. The Women’s Tennis Association (WTA) has ranked her World No. 1 in singles on six separate occasions. She became the World No. 1 for the first time on July 8, 2002, and regained this ranking for the sixth time on February 18, 2013, becoming the oldest world no. 1 player in WTA’s history. Williams is also regarded by some experts and former tennis players to be the greatest female tennis player in history. She is the only female player to have won over $60 million in prize money,  and is the reigning Australian Open, US Open, WTA Tour Championships and Olympic ladies singles champion.

Frequently hailed as the Queen of the Court by the general media, Williams holds the most major singles, doubles, and mixed doubles titles combined amongst active players, male or female. Her record of 34 Grand Slam titles puts her seventh on the all-time list: 19 in singles, 13 in women’s doubles, and 2 in mixed doubles. She is the most recent player, male or female, to have held all four Grand Slam singles titles simultaneously (2002–03), and the fifth woman ever to do so. She is also the most recent player together with her sister Venus Williams to have held all four Grand Slam women’s doubles titles simultaneously (2009–10). Her total of 19 Grand Slam singles titles is tied for third on the all-time list with Helen Wills Moody behind Margaret Court (24 titles) and Steffi Graf (22 titles),  and second in the Open Era, behind only Gra.  She has won 13 Grand Slam doubles titles with her sister Venus and the pair are unbeaten in Grand Slam finals.  Serena Williams is also a five-time winner of the WTA Tour Championships.  The arrival of Venus and Serena Williams has been credited with launching a new era of power in women’s tennis.  Williams has won four Olympic gold medals, one in women’s singles and three in women’s doubles, an all-time record shared with her sister Venus Williams.