Federer, who skipped the entire clay court season after winning the Australian Open and claiming titles at Indian Wells and Miami this year, will next play defending champion Florian Mayer who beat Frenchman Lucas Pouille in three sets.
The 20-year-old, looking to become the first unseeded woman to lift the Suzanne Lenglen Cup since 1933, blazed her way to the final, hitting winners and errors with reckless abandon.
Greek tyro Stefanos Tsitsipas' dream run at the Rogers Cup continued on Friday as the teenager toppled defending champion Alexander Zverev 3-6, 7-6(11), 6-4 to reach the semi-finals in Toronto.
Greek teenager Stefanos Tsitsipas secured the biggest win of his career when he sent Wimbledon champion Novak Djokovic packing in the third round of the Rogers Cup with a stunning 6-3, 6-7(5), 6-3 win on Thursday.
Daniil Medvedev and Karen Khachanov crushed second seed Dominic Thiem and third seed Alexander Zverev respectively to set up an all-Russian semi-final at the Rogers Cup in Montreal on Friday.
Images from Day 5 of the French Open in Paris on Thursday.
Serena Williams and Naomi Osaka advanced to the Rogers Cup quarter-finals on Thursday to set up their first meeting since the American's infamous row with an umpire overshadowed last year's US Open final.
Images from Day 3 of the French Open matches played at Roland Garros in Paris on Tuesday
The latest tennis rankings have been announced by the ATP and WTA
Caroline Wozniacki 0-6, 6-3, 7-5 and advance to the last four at WTA Finals on Friday, the Frenchwoman topping the Red Group after top seed Simona Halep lost later in the day.
The World No 2 announced her commitment to the social media entrepreneur shortly before the New Year and while it was "great", she was pushing it to the back of her mind, at least until after Melbourne Park.
Venus Williams gained revenge for her Wimbledon final defeat by Garbine Muguruza when the American advanced to the last four of the WTA Finals with a gutsy 7-5 6-4 victory over the Spanish world number two on Thursday.
A summary of sportspersons in the news on Sunday.
Keys and Stephens to put friendship to grand slam test
Form guide for American Serena Williams ahead of Thursday's US Open semi-final clash against Latvia's Anastasija Sevastova:
US Open, the final Grand Slam of the season, starts Monday, August 28, at Flushing Meadows in New York.
IMAGES from matches played on Day 4 of the French Open at Roland Garros on Wednesday
Summary of sports events and persons who made news on Thursday
Roger Federer reached the Rogers Cup semi-finals on Friday after coming to the net early and often in a straight sets victory over Roberto Bautista Agut on a windy day in Montreal.
A summary of Friday's tennis action from around the world.
The lanky wild card kissed the Montreal court after completing a rousing 3-6, 6-4, 7-6(4) triumph as the 18-year-old became the youngest player to ever reach the quarter-finals of an ATP Masters 1000 event.
Greek teenager Stefanos Tsitsipas slayed another tennis giant on Saturday, saving a match point as he toppled big-serving Kevin Anderson 6-7(4), 6-4, 7-6(7) in a thriller to set up a Rogers Cup final against top seed Rafael Nadal.
World No 1s Andy Murray and Angelique Kerber have been named top seeds for the first major of the season, Australian Open, which will commences on January 16.
Top seeded Ash Barty overcame a slow start to defeat Maria Sharapova 6-4 6-1, while Simona Halep battled past Ekaterina Alexandrova 3-6 7-5 6-4 in the second round of the Cincinnati Masters on Wednesday.
Nadal, playing his first match since losing to Roger Federer in the Wimbledon semi-finals, fell behind 5-2 in the tiebreak before roaring back to prevail in his first career meeting with world number 53 Evans.
Frenchman Benoit lost his temper in the third game of the second set when top seed Tsitsipas halted the match to attend to a broken shoe lace.
Angelique Kerber is the world number one in women's tennis yet it remains a title she has yet to grow accustomed to after her meteoric rise to the summit.
Defending champion Serena Williams reached the semi-finals of the Western & Southern tournament in Cincinnati but not before having her mettle tested in a 3-6, 6-4, 6-2 win over sixth-seeded Serb Ana Ivanovic on Friday.
The imposter who did turn up got dragged into a two hour 11 minute tussle in which she failed to convert 11 of the 12 break points that fell her way.
Rafael Nadal rallied from a set down to ease past Fabio Fognini 4-6, 6-1, 6-2 in the Italian Open quarter-finals on Friday and set up a mouth-watering clash against long-time adversary Novak Djokovic for a place in Sunday's final. Djokovic plotted a similar path to the Spanish clay-court king when the Serb lost the first set against Japan's Kei Nishikori before recovering to win 2-6, 6-1, 6-3 and seal an open-era record 51st career meeting against Nadal.
Rafael Nadal left German qualifier Yannick Maden no hope as he booked his ticket for the third round of the French Open in ruthless fashion with a 6-1, 6-2, 6-4 victory.
Earlier on Wednesday, Czech Karolina Pliskova was forced to withdraw from the tournament due to a viral illness.
Serena Williams and Marin Cilic both survived third round scares on Friday to keep their US Open title defences on track but there was no escape for Rafael Nadal with the twice-winner going down in a late night thriller.
Rafael Nadal swept into the quarter-finals of the Italian Open on Thursday with a ruthless 6-4, 6-1 victory over Canadian teenager Denis Shapovalov. The top seed, who will reclaim the world number one ranking from Roger Federer if he wins his eighth title in Rome, turned in a near-flawless performance, losing only five service points as he honed in on victory in an hour and 22 minutes.
Former champion Stan Wawrinka battled past Russian fourth seed Daniil Medvedev in five sets to reach the Australian Open quarter-finals with a 6-2, 2-6, 4-6, 7-6(2), 6-2 victory. Fifth seed Dominic Thiem kept his flawless record against Gael Monfils intact with a trouble-free 6-2, 6-4, 6-4 victory on Monday to reach his maiden Australian Open quarter-final.
The top-seeded Serb, who had not dropped a set in four matches since the round of 16 at the Australian Open in January, looked out-of-sorts throughout the 98-minute contest.
Top seed Dominic Thiem was knocked out the Rio Open in the first round on Tuesday, going down 6-3, 6-3 to Laslo Djere.
Reigning champions Novak Djokovic and Serena Williams have been named top seeds for the Australian Open starting on Monday.
Unseeded Australian Daria Gavrilova upset fifth seed Petra Kvitova, of the Czech Republic, 6-2, 6-1 in the first round of the China Open on Saturday as Serbia's Aleksandra Krunic showed stunning powers of recovery to pull off her own shock win over sixth seed Elina Svitolina.
World number two Simona Halep beat Maria Sharapova 6-2, 6-2 in the China Open third round on Wednesday for her first win over the Russian in eight attempts.
