Miami, FL, United States, 26 March 2019 | AAP

Ash Barty fought back from a set down against Kiki Bertens to book her place in the quarterfinals of the Miami Open.

The Australian No.1 lost the first set against her seventh-seeded opponent, but dug deep to draw level in the second before completing a 4-6 6-3 6-2 win in just under two hours.

Fellow Australian Jordan Thompson was another winner in Miami on Monday, stunning 24th seed Grigor Dimitrov to join Nick Kyrgios in the last 16 of the ATP Masters event.

World No.11 Barty, who knocked out compatriot Sam Stosur in the previous round, now stands one win away from a top-10 debut.

Petra Kvitova – who beat Barty in both the Sydney International final and the Australian Open quarters this year – stands in her way.

Barty now holds a 4-0 record over Dutchwoman Bertens, with three of those career wins coming from a set down – the most recent before Monday’s win coming in the semifinals of this year’s Sydney International.

“Whenever I play Kiki, there’s really not much in the match at all,” Barty said.

“For a span of six or seven games there she maybe gave me one or two errors – she really went into lockdown mode.

“I did well to squeeze out of my service game at 2-2 in the second, had a little wriggle there and went into lockdown mode myself.”

Barty also told reporters that new performance coach Ben Crowe has helped improve her game, adding: “He’s made an astronomical difference.

“We’ve created a really tightly knit group: we trust each other, we bounce ideas off each other and ultimately we try to get the best out of each other.”

Unlike her undefeated record against Bertens, Barty trails 0-4 in her head-to-head series with Kvitova.

“Absolutely not!” Barty said when asked whether she was tired of facing Kvitova. “It’s always an exceptional challenge, she’s one of the best in the world… I look forward to it.”

The Czech world No.2 claimed a commanding 6-3 6-3 victory over France’s Caroline Garcia but only after a rain delay of over two hours while leading 5-2 in the second set.

Kvitova, who can reach world No.1 for the first time if she lifts the Miami trophy, said: “I’m glad I was able to finish the match.

“You never know what it’s going to be like when you come back from a rain delay. I tried to be focused but it was difficult.”