Third seed Federer reached his 50th Grand Slam quarter-final and 15th at Wimbledon with a 6-4, 6-2, 6-4 win over Grigor Dimitrov.
The 474-ranked player put up a spirited fight against a far superior Benoit Paire but went down 3-6, 4-6 in one hour and 25 minutes.
Rafael Nadal, a 14-time Grand Slam champion, is now just one win away from matching Argentine legend Guillermo Vilas's record of 49 clay-court titles.
Stanislas Wawrinka brushed aside Benoit Paire 6-3, 6-4 in just one hour and five minutes.
Benoit Paire of France celebrates after his victory over Kei Nishikori of Japan in their men's singles semi-final match at the Japan Open.
Kubot, the 31-year-old world number 30, defeated French 25th seed Benoit Paire 6-1, 6-3, 6-4 while De Schepper, the 26-year-old world number 80, beat Argentine 22nd seed Juan Monaco, 6-4, 7-6 (10/8), 6-4.
Kei Nishikori became the first Japanese man to reach the last 16 of the French Open in 75 years on Saturday when he defeated Benoit Paire of France 6-3, 6-7 (3/7), 6-4, 6-1 in a third round match.
Sunday's final will be the 30th meeting between Nadal and Federer with the Spaniard holding a 19-10 lead.
Nadal will play a Saturday semi-final against Canadian fifth seed Milos Raonic, who beat Ernests Gulbis 6-2, 7-6 (8/6) and followed up by winning a hard-fought battle with Spanish veteran Tommy Robredo 6-7 (5/7), 6-3, 7-6 (7/2) in almost two and a half hours.
It took the Spaniard 86 minutes to dispose of Paire 7-6(2), 6-2 in a rain-delayed game.
In other first-round matches, there were wins for Nikolay Davydenko, qualifier Pablo Andujar and French pair Benoit Paire and Edouard Roger-Vasselin.
Somdev, who had shocked world number 39 Benoit Paire in the opening round, went down 3-6 5-7 against Bernard Tomic in the second round in one hour and 12 minutes.
The record 17-time Grand Slam champion, who went into the year's first major without a lead-up tournament, demolished Frenchman Benoit Paire 6-2, 6-4, 6-1 in 1hr 23min on Rod Laver Arena.
Roger Federer breezed into the Swiss Indoors semifinals, beating France's Benoit Paire 6-2, 6-2 behind a strong serve Friday to raise his record to 65-9 this season.
Second-seeded Tomas Berdych defeated Benoit Paire of France 6-1, 7-6 (6) in a first-round match in hot and humid conditions at the Japan Open on Monday.
Comeback kid Brian Baker's fairytale return hit a new high on Saturday as the American qualifier moved into the Wimbledon fourth round with a 6-4, 4-6, 6-1, 6-3 victory over France's Benoit Paire.
Fifth seed Jo-Wilfried Tsonga completed a 6-2, 4-6, 6-2, 6-1 win over German qualifier Cedrik-Marcel Stebe, while sixth seed David Ferrer of Spain coasted past Benoit Paire of France 6-3, 6-3, 6-2 in the French Open second round.
Top-seeded Pablo Andujar of Spain rallied past Filippo Volandri of Italy 4-6, 7-5, 6-2 to reach the quarterfinals of the Serbia Open on Thursday.