'Definitely was one of the best matches I have played this year, for sure, ' said Kvitova.
The ATP Masters 1000 tournament lost its top seed when world No. 1 Rafael Nadal withdrew after winning the Canadian Open on Sunday, to take care of his body before the US Open.
Analyzing the match overall, Kvitova added: 'I think that in the beginning, she didn't really feel the rhythm probably.
ANDY Murray's comeback from hip surgery hit another roadblock when he was beaten by France's Lucas Pouille in the first round of the Cincinnati Open. "Right now I'm just managing it". The goal is now to recover from this match, take the positives with me. It's like a mental game, as well, you know, still staying there and be focusing on every point.
"I have played four three-set matches and a couple of long ones in Washington".
Playing his fourth tournament after missing nearly a year due to an ongoing hip problem, Murray tallied eight double faults and was broken four times in a rusty display.
Czech ninth seed Karolina Pliskova made a personal breakthrough as she beat Agnieszka Radwanska for the first time after seven previous straight-sets losses to the Pole, winning 6-3, 6-3.
"So for the players as well and to attract more people and viewers of a younger audience we have to keep tennis matches dynamic and shorter".
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Nick Kyrgios served 39 aces, including one to save match point, to power into the second round with a dramatic 6-7, 7-5, 7-6 win over Denis Kudla.
"It's nice to be back and I hope to have a good tournament".
Peter Gojowczyk of Germany defeated Joao Sousa 2-6, 6-4, 7-5.
South Korean Chung Hyeon rallied to beat Jack Sock 2-6 6-1 6-2 and set up a second-round clash with fourth seed Juan Martin del Potro.
But fellow injury patient Stan Wawrinka opened with a defeat of 12th seed Diego Schwartzman 6-2, 4-6, 6-3. "I have more time for the family, which is important for me", the father of two sets of twins said.
Unseeded Milos Raonic advanced past Serb Dusan Lajovic 6-3, 6-3 at the combined ATP and WTA event, the last major tune-up prior to the US Open on August 27.
The Swiss won 6-4 6-4 as he attempts to win this event for the eighth time, having first triumphed here in 2005. Sixth-seeded Caroline Garcia also reached the third round with a 6-4 6-5 win over wild card Victoria Azarenka, but 12th-seeded Daria Kasatkina suffered a first-round upset at the hands of qualifier Petra Martic, 4-6 6-4 6-3.