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In front of an half empty Court Philippe Chatrier under threatening skies, the Danish second seed barely broke sweat to set up a meeting with Russian Daria Kasatkina.
A woeful Parmentier managed only six points in the opening set, four of them being gifted by Wozniacki's unforced errors.
There was a brief smile on wildcard Parmentier's face when she finally won three games -- after losing the first 11.
Wozniacki quickly regained control and wrapped it up on the second match point when the Frenchwoman sent a forehand long -- her 27th unforced error of the match.