Djokovic was scheduled last on Court Philippe Chatrier, against No. 19 Albert Ramos-Vinolas of Spain, while the fifth-seeded Muguruza faced No. 13 Kristina Mladenovic of France on Court Suzanne Lenglen after Nadal's match. Mladenovic often played to the fans, waving her arms to ask for more noise.
To add another upbeat dimension to proceedings in Paris, the French crowd was guaranteed at least one home player in the quarter-finals as Caroline Garcia more than fulfilled her seeding to reach the fourth round-her best run at any Major thus far-and would meet the unseeded Alize Cornet, who put out both No20 seed Barbora Strycova and No9 seed Radwanska.
Muguruza beat Serena Williams in the French Open final past year.
After playing through the pain barrier of a pulled back muscle to overcome American Jennifer Brady in a marathon three-set first round encounter, the popular 24-year-old promised the crowd she would "fight until the end".
"It's not flawless, there are little problems but I fight as I can".
There was also an unexpected visitor at the French Open, Serena Williams. She next takes on 2012 runner-up Sara Errani.
But the Spaniard has been repeatedly answering questions recently about whether expectations are different now that she is a major champion and whether that sort of pressure might affect her on court. The last woman representing France to win the country's Grand Slam tournament was Mary Pierce in 2000. She broke down in tears during her post-match speech to the crowd, which regaled her with chants of her nickname, "Kiki!"
Seven-time major champion Venus Williams is bidding for a quarterfinal spot against No. 30 Timea Bacsinszky.
Williams, who turns 37 this month, earned all of those titles at Wimbledon or the U.S. Open. Wozniacki has not reached the second week here since she was a teenager in 2010, though on paper, she would become perhaps the best qualified woman remaining in the draw-a former No1 and with two Major finals to her name, but both in NY.
Bacsinszky's best result at a major tournament was reaching the semifinals at Roland Garros in 2015.
Rafael Nadal eased past 17th-seeded Roberto Bautista Agut 6-1, 6-2, 6-2 to reach the quarterfinals of the French Open.
Meanwhile, No. 1 Caroline Wozniacki returned to the quarterfinals for the first time since 2010, eliminating 2009 champion Svetlana Kuznetsova 6-1, 4-6, 6-2.
The 31-year-old Nadal is seeking his 10th French Open title and 15th Grand Slam title.
Back on court with the 12th-seeded Tsonga trailing 7-5, 6-4, 6-7 (6), 5-4, the Frenchman lasted less than eight minutes, losing the first three points on his serve but managing to save the three match points.
1 arrest as hundreds gather for Portland rallies
His group - which isn't racist or alt-right, he says - shouldn't be held responsible for the actions of counter-demonstrators. Online threats of violence prompted a large law enforcement presence as police attempted to keep protesting groups separated.
Rahal Wins First Dual in Detroit Race
The Belle Isle qualifying session has set the starting grid for the seventh race of the 2017 Verizon IndyCar Series season. Following that race, the series will shift to Texas Motor Speedway for a race under the lights on June 10.
Anti-Trump protesters "March for Truth"
The crowd gathered to celebrate the President's decision to withdraw the US from the Paris Climate Agreement. Another Saturday, another protest against President Donald Trump .