Nadal, No. 2 in the world, finished off his seventh French Open championship Monday on the clay courts at Roland Garros and made the switch to grass courts Thursday with a 7-5, 6-1 second-round decision over Lukas Lacko.
The Spaniard solved Lacko's serve for the first time in the 12th game of the first set and dominated the second set, winning 70 percent of the points overall. He won 10-of-17 points when receiving serve in the second set.
Local wild-card entrant Tommy Haas defeated sixth-seeded Marcel Granollers 6-3, 6-4 and No. 8-seeded Philipp Kohlschreiber, the defending Weber champion, topped Lukasz Kubot 6-7 (5-7), 6-1, 6-3 in Thursday's other matches.
Kohlschreiber's win earned him a quarterfinal spot opposite Nadal, while Federer next plays fifth-seeded Milos Raonic.