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After world No 20 Zverev refused to yield in an enthralling second-set tiebreak, Kyrgios rallied to break serve in the sixth game of the third set before taking victory in two-and-a-half hours.

All the top seeds had competitive matches on Tuesday, with Japanese second seed Kei Nishikori also taken to three sets before ousting Federico Delbonis of Argentina 6-3 4-6 6-3.

Federer was taken to three sets and had to save a match point in his quarter-final in Miami, eventually progressing past Tomas Berdych 6-2, 3-6, 7-6 (8/6) in a tie-break nail-biter. Obviously, it's a little bit better for him, but at the same time I'm happy with the way that I am playing, happy with the way that I started the year after a tough second part of the year last year with injuries.

"I would love it", Federer said. Federer won the first Grand Slam event of the year back in January, as he beat Nadal at the Australian Open, and beat him yet again in the Final at the BNP Paripas Open at Indian Wells at the beginning of this month.

"You might cost me the match", he said.

It wasn't the cleanest of victories, and as usual, the Kyrgios win came with controversy.

Federer, who could potentially return to the top of the rankings later this year, admits he is lucky to be through, having been broken when he served for the match in the third set before ending up a point away from an early exit.

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"He's my favourite player, so I'm going to enjoy the moment", said the 21-year-old, who won their only career meeting, on clay in Madrid in 2015.

His next opponent will be either Alexander Zverev or the Australian Nick Kyrgios. We're going to play a lot more times and he's only going to get better. "I was trying to play my game and be aggressive".

"I thought Roberto did a good job of making shots, staying offensive when he could, fending off a lot of good shots that I hit", Federer said.

Federer is targeting another final against Nadal, who faces Italy's Fabio Fognini in the other semifinal.

Wozniacki, playing on Key Biscayne for the 10th time, was clearly the fresher player as the match went along on an 80-degree sunny afternoon.

In the women's singles, Denmark's Caroline Wozniacki reached the semi-finals of the Miami Open with a straight sets win over Lucie Safarova of the Czech Republic.

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