Jelena Jankovic and Svetlana Kuznetsova both endured some tense moments before advancing to the third round at the US Open.
Novak Djokovic overcame an ankle injury to defeat Frenchman Arnaud Clement 6-3 6-3 6-4 in the first round of the US Open on Wednesday.
Both Serena and Venus Williams had a much easier time than Ana Ivanovic at the US Open on Tuesday as the top seed narrowly avoided first-round elimination.
Four-time defending champion Roger Federer began his bid for a first Grand Slam win of the season with a comfortable first round victory over Argentina's Maximo Gonzalez at the Billie Jean King Tennis Center on Tuesday.
New world number one Rafael Nadal advanced to the second round of the US Open but his passage past Bjorn Phau proved anything but straightforward.
Former champion Marat Safin survived a controversial foot-fault call and an inspired opponent before beating Vince Spadea 3-6 6-2 6-3 4-6 6-4 to reach the second round of the US Open.
Serena Williams launched her bid for a third U.S. Open title with a ruthless 6-1 6-4 demolition of Ukraine's Kateryna Bondarenko in the first round.
The 2008 edition of the Bangalore Open has been cancelled due to security concerns, the Association of Tennis Professionals (ATP) has confirmed.
Jelena Jankovic successfully began her quest for a first major championship while Svetlana Kuznetsova, Elena Dementieva and Lindsay Davenport also triumphed in the opening round of the US Open on Monday.
Top seed Rafael Nadal overcame a defiant display by German qualifier Bjorn Phau to launch his bid for a first US Open crown with a 7-6 6-3 7-6 win in the first round.