Nadal, the No. 5 seed this week, beat Ernests Gulbis 1-6, 7-5, 6-4. Gulbis, who had 15 aces, controlled the early going but Nadal made a slight adjustment that was enough to turn the match.
The aggressive style by Gulbis was shown by his 59 winners and 50 unforced errors. The first set was so lopsided that Gulbis won more points (97-94) overall in the match but Nadal managed a pair of breaks in each the second and third sets to advance.
His quarterfinal opponent will be familiar as fourth-seeded David Ferrer advanced on a walkover when Philipp Kohlschreiber was ill. Nadal beat Ferrer played in the quarterfinals of last week's Madrid Open.
World No. 1 Novak Djokovic defeated Alexandr Dolgopolov 6-1, 6-4 in 61 minutes, saving the three break chances he faced, and second-seeded Roger Federer played 62 minutes in taking out Gilles Simon 6-1, 6-2.
Jerzy Janowicz took out his second ranked French player in as many rounds with a 3-6, 7-6 (7-2), 6-4 decision over No. 9 Richard Gasquet. Janowicz eliminated eighth-seeded Jo-Wilfried Tsonga in the second round.
Friday's quarterfinals have Djokovic meeting Berdych while Ferrer and Nadal play in one side of the draw. Federer is to play Janowicz and Granollers goes against Paire in the other quarterfinals.
2014: NFL Cheerleaders [PHOTOS]
Michael Sam cut from the Dallas Cowboys