The two are headed for a possible showdown in the Australian Open quarterfinal
China's Na Li kept the Asian interest alive as she beat ninth seed Dinara Safina 6-2, 6-2.
Mauresmo stayed on course to defend her Australian Open title with a 6-3, 6-1 win over Czech Eva Birnerova in the third round on Friday.
The world No. 1 beat Justine Henin-Hardenne in the final to become the first Frenchwoman to win the crown since Suzanne Lenglen in 1925.
Henin-Hardenne out-hit fellow-Belgian Kim Clijsters in the first semi-final, while Mauresmo beat Maria Sharapova.
Top seed Amelie Mauresmo, second seed Kim Clijsters and number three Justine Henin-Hardenne also won their quarter-finals.
The Indian will take on seventh seed Elena Dementieva in the first round at Wimbledon
Amelie Mauresmo and Maria Sharapova lost their respective fourth round matches at the French Open
Top seed Amelie Mauresmo, Kim Clijsters and Martina Hingis also revelled in improved conditions following the rain-soaked start to the French Open.
Amelie Mauresmo ended Nicole Vaidisova's 18-match unbeaten streak to reach the final of the Advanta Championships.
The loss of the top two seeds was another huge blow to the Advanta Championships which has already seen the withdrawal of Venus and Serena Williams.
The world number two suffered a surprise defeat by the Russian in the last 16 of the Italian Open.
The Belgian advanced to the German Open semi-finals with a 6-4, 7-6 victory over Russian Svetlana Kuznetsova.
Justine Henin-Hardenne clinched the year-end number one spot and a place in the final of the WTA Championships when she ended Maria Sharapova's 19-match winning streak.
The world number one withdrew from the Zurich Open with a right shoulder injury.
The Czech teenager beat top seed and world number one Amelie Mauresmo 1-6, 7-5, 7-6 in the Kremlin Cup quarter-finals.
Top seed Amelie Mauresmo joined Russian trio Elena Dementieva, Nadia Petrova and Anna Chakvetadze in the Kremlin Cup quarter-finals on Thursday.
Russian Svetlana Kuznetsova registered a 6-4, 6-0 victory to win the China Open title.
Amelie Mauresmo pummeled Martina Hingis 6-2, 6-2 in the semi-final of the Qatar Open.
The two will meet in the semi-final of the Dubai Open on Friday
In another quarter-final at the Dubai Open, Russian third seed Maria Sharapova beat Switzerland's Martina Hingis.
Amelie Mauresmo was struggling against qualifier Kristina Barrois when rain ruled out play at the US Open.
The Indian has dropped 10 places to 54 in the latest WTA rankings.
The 23-year-old Federer dominated the men's game this year, winning 11 titles including three Grand Slams and the Masters Cup.
World number one Federer is looking to become only the third man in the Open era, after John McEnroe and Ivan Lendl, to win the title three years in succession.
Top-seed Amelie Mauresmo overpowered compatriot Mary Pierce 6-1, 7-6.
Sania Mirza lost her women's singles and doubles matches at the Australia Open on Thursday.
The Frenchwoman went down to rising Serb Ana Ivanovic 6-3, 7-5 at the Sydney International.
Amelie Mauresmo received an easy passage into the final of the Advanta Championships in Philadelphia on Saturday when Maria Sharapova was forced out of the event with a sore shoulder.
Both players registered convincing victories to move into the second round of Wimbledon.
The Czech announced her arrival on the world stage when she upset world number one Amelie Mauresmo at the French Open.
World number one Amelie Mauresmo denied nerves had caused her defeat in the fourth round
The top seed trailed 0-3 and 3-5 in the first set against Argentine qualifier Diego Hartfield before winning his first round match at the French Open.