Defending champion Iga Swiatek and Wimbledon winner Elena Rybakina underlined their title credentials with straight-set wins at the French Open.
Polish world number one Swiatek, seeking a third title in four years at Roland Garros, defeated American Claire Liu 6-4 6-0 to reach the third round.
She will play China's Wang Xiyu next.
Kazakhstan's Rybakina, winner of last week's Italian Open, beat 18-year-old Czech Linda Noskova 6-3 6-3 for her eighth successive victory on clay.
The 23-year-old fourth seed will play Spain's Sara Sorribes Tormo in the last 32.
Swiatek and Rybakina are part of the emerging 'big three' on the WTA Tour, alongside Belarusian world number two Aryna Sabalenka, with the trio having won the past four Grand Slam titles between them.