New York, September 3

World No 1 Serena Williams shook off a woeful start on Wednesday to advance her quest for tennis history, while Novak Djokovic and Rafael Nadal joined her in the third round of the US Open.

Williams, trying to complete the first calendar Grand Slam singles sweep since Steffi Graf in 1988, defeated 110th-ranked Dutch qualifier Kiki Bertens 7-6 (7/5), 6-3 at Arthur Ashe Stadium despite 34 unforced errors and 10 double faults. “I just kept fighting for each point, not for a lot but just one at a time,” Williams said. “I had been pretty relaxed. Today I was a little tight. I think it showed. Hopefully I can get back to where I was before.”

The 33-year-old American, trying to match Graf’s Open Era record of 22 career Slam singles titles and win an Open Era-record seventh US Open crown, improved to 50-2 on the year with her 30th Slam match win in a row and sustained her march toward history.

Spanish eighth seed Nadal, a 14-time Grand Slam champion, ousted Argentina’s Diego Schwartzman 7-6 (7/5), 6-3, 7-5, for his 750th career tour-level match triumph while top-ranked Djokovic stayed on a last-eight collision course with Nadal by dispatching Austrian Andreas Haider-Maurer 6-4, 6-1, 6-2.

The reigning Australian Open and Wimbledon champion, whose only US Open title came in 2011, won 14 of the final 17 games.

Three-time defending champion Williams completed her second “Serena Slam” of four major wins in a row by winning the Wimbledon crown in July, becoming the oldest Slam winner.

Williams broke back to level at 5-5 in the first set but double faulted four times in the 11th game before holding, then fell behind 4-0 in the tie-break before rallying largely on Bertens’ unforced errors.

“It definitely doesn’t worry me, being down a lot,” Williams said. “I know I can make a comeback, make a run for it.” But her form was so shocking that she ran to the practice courts to work on serves after the match. Next up for Williams will be fellow American Bethanie Mattek-Sands, who beat compatriot CoCo Vandeweghe 6-2, 6-1.

Canadian 10th seed Milos Raonic, who could meet Nadal in the fourth round, fired 18 aces in dispatching Spain’s Fernando Verdasco 6-2, 6-4, 6-7 (5/7), 7-6 (7/1).

Defending champion Marin Cilic and seventh seed David Ferrer neared a fourth-round meeting. Croatian ninth seed Cilic fired 19 aces in defeating 139th-ranked Russian qualifier Evgeny Donskoy 6-2, 6-3, 7-5. Spain’s Ferrer, the 2013 French Open runner-up who missed the past 2 1/2 months with an elbow injury, downed 102nd-ranked Serb Filip Krajinovic 7-5, 7-5, 7-6 (7/4).

Serena could reach a Grand Slam singles final without facing a top-10 rival for the first time in her career, but her quarter-final foe could be 35-year-old sister Venus or Swiss 18-year-old Belinda Bencic, who inflicted Serena’s most recent defeat. Bencic, the highest seed remaining in Williams’ half of the draw at 12th, saved three match points in the second set and outlasted Japan’s 88th-ranked Misaki Doi 5-7, 7-6 (7/3), 6-3. “I’m just happy I could turn it around,” she said.

Bencic, who defeated Serena in the Toronto semi-finals last month, next plays Venus after the elder Williams eliminated fellow American Irina Falconi 6-3, 6-7 (2/7), 6-2. Australian Open semi-finalist Madison Keys ripped 100th-ranked Czech Tereza Smitkova 6-1, 6-2.

The American 19th seed hopes for a fourth-round date with Serena Williams, who ousted her in Australia. “Fingers crossed it could happen. If it does happen I could come out and have some fun at my home Slam,” Keys said.