Defending champion Karolina Pliskova survived a scare to beat Anastasia Pavlyuchenkova and reach the third round of the Eastbourne International.
Top-seeded Caroline Wozniacki, last year's runner-up, had an easier passage as she beat Camila Giorgi 6-2, 6-2 on Monday.
Pliskova had never lost a set to Pavlyuchenkova in five previous meetings but the Czech player struggled in the second set before prevailing 6-4, 2-6, 6-3.
The second-seeded Pliskova hit nine aces in the first set and seemed on her way to another comfortable victory.
However, Pavlyuchenkova broke immediately in the second set and, although the Russian was broken back, she broke Pliskova's serve again and two successive errors from her opponent saw her level on sets.
But there was to be no upset as Pliskova broke in the third game of the third set and, after saving a break point in the next game, she never looked back.
Pliskova broke again in the final game, sealing the match when Pavlyuchenkova hit the ball long.
Giorgi won the first two games against Wozniacki but that was to prove a false dawn for the Italian as three successive double faults appeared to shake her confidence and she lost the next six games and the first set, which Wozniacki sealed with a delightful shot down the line.
Wozniacki broke Giorgi at the start of the second set and the Danish player looked in impervious form as she stormed on to take the match, winning when Giorgi hit a forehand into the net.
Later, Andy Murray continues his comeback when he faces Stan Wawrinka in the first round of the men's draw.
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