Elina Svitolina and Maria Sharapova were among those to taste success at the Internazionali d'Italia in Rome on Tuesday.
Alize Cornet's anti-doping charge has been dismissed after it was deemed "reasonable" efforts to locate her for a third test were not made.
Naomi Osaka added another prestigious scalp to a growing list, while Roberta Vinci brought her career to an end in Rome.
After just 56 minutes on court in his first-round win in Rome, Novak Djokovic expressed a desire for more playing time.
A two-time semi-finalist at Roland Garros, Jo-Wilfried Tsonga will not feature at this year's French Open.
Novak Djokovic took less than an hour to complete an emphatic victory over Alexandr Dolgopolov at the Foro Italico.
Patrick Mouratoglou feels Serena Williams returned from maternity leave too soon, but expects her to be ready to challenge in Paris.
Fernando Alonso will look to win the 24 Hours of Le Mans next month, and compatriot Rafael Nadal will get the race going.
Stan Wawrinka's first match for three months did not go to plan, the Swiss losing to Steve Johnson on day one in Rome.
Denis Shapovalov was no match for second seed Alexander Zverev as he booked a final date with Dominic Thiem at the Madrid Open.