He'll face 20th-seeded Pablo Carreno Busta in the last eight after the Spaniard knocked off fifth-seeded Milos Raonic 4-6, 7-6 (2), 6-7 (6), 6-4, 8-6.
Defending champion Spain's Garbine Muguruza reacts as she plays France's Kristina Mladenovic during their fourth round match of the French Open tennis tournament at the Roland Garros stadium, Sunday, June 4, 2017 in Paris. "I mean, if it happens in London, happens in Paris, Nice, it can really happen anywhere", the Serb said after winning his match at Roland Garros.
Whoever comes out on top will then likely face a semi-final battle against Nadal, with the nine-time victor undoubtedly grateful he'll only have to face one of his two greatest challengers at Roland Garros.
Thus the world No. 4 is through to the French Open quarterfinals for the 11th time in his career.
The 15th-seeded Monfils was leading No. 24 seed Gasquet 7-6 (5), 5-7, 4-3 when play stopped.
Ramos-Vinolas was certainly a potential banana skin - the 19th seed took out Andy Murray in Monte-Carlo - but after a slow beginning, Djokovic looked firmly in control.
Teenager Jelena Ostapenko is the first woman from Latvia to make it to the French Open quarterfinals in the professional era. No. 20 Pablo Carreno Busta, and Djokovic vs.
It is the third time in four matches that Mladenovic has played a three-setter.
Williams, who turns 37 this month, earned all of those titles at Wimbledon or the U.S. Open.
Martic is ranked 290th but she took just 49 minutes to beat the Latvian and match her best performance at a Grand Slam tournament.
In remaining women's third-round matches, second-seeded Karolina Pliskova of the Czech Republic brushed aside Germany's Carina Witthoeft, 7-5, 6-1; No. 5 Elina Svitolina of Ukraine won, 6-4, 7-5, against Magda Linette, and Croatian qualifier Petra Martic upset 17th-seeded Anastasija Sevastova, 6-1 6-1.
The Swiss 30th seed, a 2015 semi-finalist, defeated 2002 runner-up Venus Williams 5-7, 6-2, 6-1 to guarantee a first-time major champion will be crowned next Saturday.
Marlins' Volquez throwing no-hitter through 7 versus Arizona
This was the fourth time the Yankees have hit four homers in an inning - they last did it October 1, 2012, against Boston. The 33-year-old threw the Major League Baseball season's first no-hitter at the Arizona Diamondbacks in a 3-0 victory.
YouGov survey suggests May's Conservatives could lose majority
A YouGov opinion poll on Wednesday showed the Conservatives' lead for the June 8 election had fallen to a fresh low of 3 percent. The poll indicated the Tories could lose 20 of the 330 seats they hold , and Jeremy Corbyn's Labour gain almost 30 MPs.