Elina Svitolina, Ukraine's No.1 tennis player defeated Czech Karolina Pliskova in the ongoing WTA event in Singapore.
She will face Karolina Pliskova in the last round-robin match of the White Group, while Wozniacki takes on Svitolina, who beat Pliskova 6-3, 2-6, 6-3 yesterday.
Win of Elina Svitolina in three sets kept the chances for the semi-finals of all four participants in the White group.
Kvitova mixed trademark power with exquisite touch but was matched by Wozniacki's dogged counterattacks.
Kvitova took control of the second set with an early break, then lost momentum when Wozniacki took a timeout for treatment on her knee, before regaining the upper hand to level the match with a sliced backhand victor on her third set point.
Wozniacki went the distance in a 7-5, 3-6, 6-2 victor over 2-time Wimbledon champion Petra Kvitova, ending a 4-match losing streak to the Czech. "It's something I have had in the past and something I have struggled with for years".
"I played much better today".
It was a very good performance for Svitolina, who hit eight aces and now seriously looks one of the favorites to go far and maybe win the title.
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"I was really feeling well physically and mentally", she said.
Svitolina captured a break in the eighth game of the third set en route to continuing her unbeaten record in the tournament.
It was Wozniacki who struck first in a tense opening set, but a problem with her left knee limited the Dane's movement and allowed Kvitova to level the match.
In the later match, an aggressive Svitolina traded blows with big-hitting Pliskova to triumph 6-3, 2-6, 6-3 in an hour and 54 minutes.
With the pressure off, Kvitova stormed to a 4-2 lead in the second set as it appeared a seventh straight match at the WTA Finals would go the distance.
"You never know what is going to happen against Petra, so I just stayed focused and got a lot of balls back". "I served and returned pretty well, and moved really well against a player who is so powerful that you have to stay on your game", Wozniacki said.
Svitolina was a bundle of energy at the start of the second match, full of intensity and covering every inch of the court as she rode her early momentum to wrap up the opening set with a forehand victor that was greeted with a big clenched fist.
Svitolina previously outplayed another Czech Petra Kvitova.