Rafael Nadal, Roger Federer and Stanislas Wawrinka dropped just 10 games between them as they made the Monte-Carlo Masters third round.
Top seed Dominika Cibulkova reached the second round of the BMW Malaysian Open with a straight-sets victory over Pemra Ozgen in Kuala Lumpur.
Fed Cup captain Judy Murray believes Laura Robson cannot be too careful with the wrist injury which has blighted her season.
Eight-times winner Rafael Nadal safely made it through to the Monte-Carlo Rolex Masters third round with an easy win over Teymuraz Gabashvili.
Andy Murray, Martina Navratilova and Tim Henman will lead an all-star line up at exhibition matches in three of the country's biggest tournaments as British Tennis stages a second Rally Against Cancer charity event.
Novak Djokovic made a convincing start to the defence of his Monte-Carlo Rolex Masters title with a second-round thrashing of Albert Montanes.
Defending champion Karolina Pliskova eased into the second round of the BMW Malaysian Open in Kuala Lumpur.
This year's French Open will pay total prize money of more than 25million euros (£20.63 million), with the singles champions each receiving 1.65m euros (£1.33m).
Rain meant only one singles match was possible on the first day of play at the BMW Malaysian Open.
Fabio Fognini fought back from the brink to defeat Joao Sousa and reach the second round of the Monte-Carlo Rolex Masters.
Fernando Verdasco ended a six-match losing streak in ATP World Tour finals with a straight sets triumph over fellow Spaniard Nicolas Almagro in the US Men's Clay Court Championship on Sunday.
Alexandr Dolgopolov powered through his opening match against Ernests Gulbis at the Monte Carlo Rolex Masters on Sunday.