This year's WTA championships pays the winner $1 million, equalling the largest prize in women's sport.
Lindsay Davenport beat Russian Anna Chakvetadze 6-3, 6-3 to reach the final of the New Haven Open
Like Mauresmo, Kuznetsova had a first round bye and she felt that might have been a factor in her shaky start.
Both in action in the French Open second round on Wednesday, could be considered the tournament's favourites.
The world number one who won the Dubai Open on Saturday is hot favourite to complete a Gulf double at the Qatar Open.
Defending champion Amelie Mauresmo advanced into the final of the Rome Masters by brushing aside sixth seed Vera Zvonareva 6-2, 6-4 on Saturday.
Amelie Mauresmo will play Russian Vera Zvonareva in the semi-final of the Rome Masters
Agassi and Mauresmo, both seeded fourth, hammered their way into the third round of the opening Grand Slam of the year.
Jennifer Capriati and Elena Dementieva claimed semi-final spots at the U.S. Open after a day of drama, controversy and magical tennis.
Top seed Amelie Mauresmo reached the semi-finals of the Nasdaq-100 Open after a 6-1, 6-4 win over tennager Ana Ivanovic on Wednesday.
Safin was followed through the exit door at the Nasdaq Open by fifth-seeded Spaniard Carlos Moya.
The second seed swept past Russian Elena Likhovtseva 6-1, 6-0 to win her third title of the year.
Injury-hampered Venus Williams made a first-round exit at the Dubai Open on Monday.
Wimbledon champion Maria Sharapova staged a superb rally to smother the challenge of Alicia Molik and win the $600,000 Qatar Open.
Maria Sharapova beat Daniela Hantuchova 6-2, 6-4 in the semi final to set up a title clash with Australian Alicia Molik.
Conchita Martinez rallied from a set down to beat Roberta Vinci of Italy 5-7, 6-0, 6-2 in the first round of the Qatar Open.
She will meet Anastasia Myskina or Venus Williams who were playing their semi-final later on Saturday.
Wimbledon champion Maria Sharapova has recovered from the illness that forced her to pull out of the Paris Open.
Safina took advantage of Mauresmo's weak serve to clinch her third WTA title in two hours and 19 minutes.
Sharapova beat Lindsay Davenport while the defending champion beat Amelie Mauresmo in the women's singles semi-finals at Wimbledon.
A preview of the Ladies semi-finals at Wimbledon.