It was a mixed bag for the top seeds on Saturday. While some cruised into the fourth round, others struggled. And in what has become normal at Roland Garros, there were upsets.

Halep, Jankovic, Errani continue to cruise

Three of the top 10 women’s seeds met little resistance on Saturday moving a step closer to their goal.

A lot has been made of the pressure placed upon players who have been thrust into the favorite role now that the top three seeds have exited. One of those competitors is fourth-seeded Simona Halep, who has looked anything but nervous thus far. Halep eased past Maria-Teresa Torro-Flor of Spain 6-3 6-0.

Along with Maria Sharapova, Halep has become a popular pick to win the women’s title now that Serena Williams, Li Na, and Agnieszka Radwanska have been eliminated. Halep has not failed to impress, dropping only 11 games in three matches in Paris.

Asked about owning the highest seed remaining, Halep responded, “It’s not easy to be the top seed now, during the tournament. But I try just to keep the pressure away.” Thus far, she has been successful in doing so. Halep yielded just 11 unforced errors while forcing Torro-Flor into 24 in a match that lasted just over an hour. She will move on to face Sloane Stephens in the fourth round.

Meanwhile, sixth seed Jelena Jankovic has made her reservation in the fourth round with a

6-1 6-2 victory over Sorana Cirstea on Saturday. Jankovic broke early and often in the first set, but the 26th-seeded Cirstea turned the tables and grabbed an early break in the second. However, it did not hold long as the Romanian continued to struggle with her serve, allowing the former world No. 1 to break seven times in the match and secure the win.

Sara Errani had little difficulty as well, defeating Julia Glushko 6-0 6-1. In a match that lasted just 52 minutes, Errani overwhelmed the Israel native forcing her into 30 errant shots. Errani served well and played a clean match with just seven errors of her own. The win sets up what should be an entertaining fourth-round match against Jankovic.

Kvitova, Ivanovic falter

Former Wimbledon champion Petra Kvitova fell to veteran Svetlana Kuznetsova 6-7 (3-7) 6-1 9-7 on Saturday. The 6th seed appeared to be bothered by a leg injury but battled through it in the loss.

The 27th-seeded Kuznetsova reflected on the win after the match, “I left out there everything I could,” she said. “I came up with a win, but I was very close to the loss as well. I was very strong mentally and really happy with that.” The exciting third set turned into an endurance test, taking 92 minutes to settle. Kuznetsova forced the Czech into 29 errors in the set while giving away just eight herself.

Meanwhile, 23rd-seeded Lucie Safarova defeated 11th seed Ana Ivanovic 6-3 6-3. Ivanovic had become one of the favorites with her recent play. However, the former French Open champion looked to be off her game on Saturday. It was Safarova controlling the match, forcing Ivanovic into 30 unforced errors

“I was pressuring Ana into her backhand side and then attacking the forehand side, which was working well,” said Safarova. “I was serving decent, and overall the game was really good.” Safarova improved to 5-2 against Ivanovic and will advance beyond the third round at a Grand Slam for just the third time.

Sloane Stephens continues to stride

American Sloane Stephens continued to impress on Saturday with a 6-3 6-4 win against Ekaterina Makarova. Stephens will move into the fourth round and has yet to drop a set at Roland Garros. Despite 21 unforced errors, Stephens was able to make inroads on Makarova's serve, breaking on three out of four opportunities. Taking advantage of those chances was enough to swing the match in her favor.

Stephens is carrying the torch for the United States as the last woman standing but will have her hands full in the fourth round as she will face Halep. ''Obviously, as the tournament goes on, the competition gets tougher,'' she said. A victory against Halep would place the American as a favorite to reach the semifinals. Interestingly, while Stephens has struggled to tread water at other events, she is 21-5 over the last two seasons in Grand Slam matches.