
Three-time champion Williams made the fourth round with a ruthless 6-3, 6-4 romp past German 11th seed Julia Goerges.
Sharapova, the 2012 and 2014 winner in Paris, was equally impressive, seeing off Czech sixth seed Karolina Pliskova 6-2, 6-1.
Sharapova and Williams have met 21 times, with the American leading the head-to-head record 19-2 after 18 consecutive wins.
The Russian has not beaten her nemesis since 2004 — before even the birth of Twitter and YouTube.
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