The Mallorcan surpassed John McEnroe's previous record of 49 consecutive sets on carpet which had stood since 1984 by seeing off 13th seed Schwartzman and claiming a 21st consecutive win on clay.
World No.1 Tennis player Rafael Nadal registered his 20 consecutive win on clay court as he defeated Gael Monfils of France by 6-3, 6-1 on Wednesday at the Madrid Open.
This time there were no mistakes from Nadal and he closed the match with a comfortable hold that pushed him inside the last eight, keeping hopes of winning the sixth title in Madrid alive.
Nadal will now face the player he beat in last year's final, Dominic Thiem, after the fifth seed came from a set and a break down to edge out Croatian Borna Coric 2-6 7-6 (7-5) 6-4.
In the men's draw, Juan Martin del Porto led 4-0 in a third-set tie-break but still lost to Serbian qualifier Dusan Lajovic. "Let's not talk about that any more and let's continue on what we have ahead which is what I am concerned about".
"I think I can improve a lot of things towards Rome and Roland Garros", Del Potro said.
Kyle Edmund followed up his win over Novak Djokovic by toppling eighth seed David Goffin 6-3 6-3, while Alexander Zverev eased to a straight-sets success over Leonardo Mayer.
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Analysts say the two countries should try to draw a line under the past in favour of " more diplomatic options". China wants the U.S.to stop an investigation into the country's acquisition of sensitive American technologies.
"I still am not believing it 100 per cent, but I know that I deserved to win today", Lajovic said.
In the quarter-finals, Lajovic will meet South Africa's Kevin Anderson who overcame German Philipp Kohlschreiber 6-3, 7-6 (9-7).
The five-time champion broke for a third time in the second set to seal his victory, converting his third match point as another Monfils groundstroke flew long.
"I managed my game very well", the Briton said.
Sharapova lost in three sets to Kiki Bertens of the Netherlands while Halep, the champion in 2016 and 2017, was blown away by Karolina Pliskova. "I will just keep going with it".
The 31-year-old said there is still a way to go as she gears up for Roland Garros. I am not saying that it's not important, but what is important is I made it to the third round of this tournament.
Djokovic, who kicked off his campaign with straight sets win over Japan's Kei Nishikori, failed to bounce back from a set down and slumped to a 3-6, 6-2, 3-6 defeat against Edmund.
