Serena Williams shrugged off doubts about her fitness to cruise into the second round of the US Open with a 6-1 6-3 victory over Sandra Kleinova of the Czech Republic.

World number one Roger Federer safely negotiated the opening round of the US Open after a straight sets victory over Spain’s Albert Costa.

Third seed Amelie Mauresmo of France survived an early scare before earning her qualification to the fourth round of the French Open with a straight-sets win over Spain’s Arantxa Parra Santonja.

Results so far from Round 1 at Wimbledon.

Anna Kournikova advanced to the second round of the Bank of the West Classic with a decisive 6-3 6-2 win over Anna Smashnova.

Andre Agassi will finally begin his quest for a second French Open title on the third day of competition at Roland Garros today.