Second seed Sharapova took just 67 minutes to see off French wildcard Aravane Rezai 6-3, 6-2, and now faces fellow Russian Anna Chak-vetadze.

Mauresmo, the third seed, edged 15-year-old compatriot Alize Cornet 6-0, 6-2, taking just a minute longer.

Mauresmo, so often let down by her fragile temperament in front of her home crowd, now takes on Serbia and Montenegro's Ana Ivanovic for a place in the fourth round.

Playing in a baking 30 degrees, Mauresmo was far from happy with her game.

Justine Henin-Hardenne and Guillermo Coria, who endured miserable appearances at the 2004 French Open, also moved into the third round.

Henin-Hardenne, who as defending champion crashed out in the second round in 2004, made the third round of the women's singles with a confident 6-1, 6-4 win over 31-year-old Spaniard Virginia Rua-no Pascual as temperatures here hit the 30-degree mark.

Twelve months ago, Henin-Hardenne came here as defending champion but having not played for six weeks after being struck down by an energy-sapping virus.

Her lack of sharpness was exposed as she was dumped out at the second round stage by unheralded Italian Tathiana Garbin, becoming the first top seed in the history of the women's event to lose so early.

As she looked ahead to a third round clash against another Spaniard, Anabel Medina Garrigues, the 22-year-old Belgian admitted she was struggling this year with a back injury.

Henin-Hardenne only returned to the tour in April this year after a seven-month absence to cure her viral problem and has been in fine form since winning three titles in a row in Charleston, Warsaw and Berlin.

Coria, who arrived here twelve months ago as hot favourite for the men's title before throwing away a two-set lead in his final loss to Argentinian compatriot Gaston Gaudio, also made it through.

The eighth-seed progressed when his Serbia and Montenegro opponent Novak Djokovic was forced to retire injured while the Argenti-nian was leading 4-6, 6-2, 3-2.

Djokovic, a qualifier, had to concede the match with breathing difficulties.

Coria, who faces Austria's Jurgen Melzer in the next round, said he had no problems playing in the hot and humid conditions.

"I have been working on my fitness. You should be able to play long matches in the hot weather."

The conditions took their toll elsewhere in the men's event with American veteran Vince Spadea having to concede his match against German 21st seed Tommy Haas with a stomach strain while trailing two sets to love.

But there were no such problems for Argentinian ninth seed Guiller-mo Canas or Russian 12th seed Nikolay Davydenko who moved into the last 16.

Russia's 29th seed Mikhail Youzhny was knocked out, losing to Melzer 6-3, 6-4, 7-6.

Also progressing into the next round in the women's draw were Nadia Petrova, the Russian seventh seed, Russia's US Open champion Svetlana Kuznetsova, seeded six, and French 17th seed Tatiana Golovin.

Russia's Marat Safin, the men's third seed, was due to face Czech qualifier Lukas Dlouhy with second seeded American Andy Roddick facing Argentina's Jose Acasuso.