World No.2 Iga Swiatek stalled at the start but won her first match at the WTA Masters in Cancun (Mexico), Monday against Marketa Vondrousova, 7-6 (7/3), 6-0, before No.3 Coco Gauff sweeps Ons Jabeur 6-0, 6-1.
This tournament which brings together the eight best players of the season is of particular importance for the Pole, who can take back the throne of N.1 from Aryna Sabalenka depending on the progress of the competition.
This could have taken a bad turn from the start for Swiatek, broken from the start then led 2-5 in the first set.
But the 22-year-old set the record straight, subsequently leaving no chance to her Czech opponent, surprise winner of the last Wimbledon.
Vondrousova managed to force a tie-break in which she did not exist, offering the first set to Swiatek on a double fault.
Before completely collapsing in the second round and losing her serve three times in a row, leaving the Pole to conclude with her throw in at 5-0.
In the second meeting of the day, US Open title holder Coco Gauff (N.3) swept away Ons Jabeur (N.7).
The 19-year-old American won the first set 6-0 before being stopped by rain at 1-0 in the second, finally won 6-1 after an interruption of more than an hour.
The Masters table is divided into two groups of four. The top two in each group qualify for the semi-finals which start on Saturday.