"I went on court thinking it was going to be a tough match".
As Schwartzman became less proficient and complained about issues in his right hip area - a trainer came out and gave him a massage during a changeover late in the final set - Djokovic became more assertive and more accurate.
The 17th-seeded Bautista Agut sweptJiri Vesely, 6-3, 6-4, 6-3, to reach the fourth round for the second year in a row.
"I have no words to describe the love I have for you", said Mladenovic, who rallied from 5-2 down in the third set to set up a date with defending champion Garbine Muguruza on Monday.
The fourth-seeded and the reigning champion outscored Putintseva 26-14 in winners, and reached the 73 per cent in winning on first serve, 24 percent higher than Putintseva.
- Nine-time French Open victor Rafael Nadal was in a hurry to avoid a rain interruption as he stormed to a 6-0 6-1 6-0 victory over Georgia's Nikoloz Basilashvili to reach the fourth round. "I played very well".
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And while the defence of his crown remains on track, that length of match was scarcely ideal preparation for facing Albert Ramos-Vinolas, who won his own five-set thriller against a stricken Lucas Pouille.
- After Goffin briefly received off-court treatment, the chair umpire announced that the Belgian had to abandon the match. I have played a lot in the last weeks.
Belgium's David Goffin retired with an ankle problem in his match against Horacio Zeballos of Argentina.
Raonic was leading 6-1, 1-0 when 153rd-ranked Garcia-Lopez quit after just 28 minutes of their third round encounter.
Nadal demonstrated why he is once more considered the overwhelming favourite at Roland Garros with a brutal demolition of Georgia's Nikoloz Basilashvili.
Djokovic was unhappy for being docked a first serve for taking too long while serving at 4-0 in the fourth set and given a warning for unsportsmanlike conduct later in the same game.
Muguruza plays either French 13th seed Kristina Mladenovic or American Shelby Rogers, who she beat in last year's quarter-finals, for a place in the last eight.