That is the end of this live page so thanks as always for joining us and for your comments.
We will be live again for Ashleigh Barty's quarter-final against Petra Kvitova from about 01:30 GMT on Tuesday morning, followed by Tennys Sandgren versus Roger Federer and then Milos Raonic in his match with Novak Djokovic so hopefully you can join us for those.
Until next time, bye for now.
Watch highlights on BBC Two
BBC Two
Tune in at 15:15 GMT to watch the best of the day's action from Melbourne.
It is definitely worth a watch as that was one brilliant match.
Nadal beats Kyrgios to reach quarters - read the report
Nadal, 33, had not dropped a set this tournament before 23rd seed Kyrgios provided his biggest test so far. Kyrgios, who wore a Kobe Bryant basketball shirt in the warm-up, battled hard but Nadal came through 6-3 3-6 7-6 (8-6) 7-6 (7-4).
Nadal will face Austrian fifth seed Dominic Thiem in the last eight.
Nadal and Kyrgios have not always seen eye to eye with the rivalry blowing up last year after a tempestuous meeting in Acapulco. Afterwards the 19-time Grand Slam champion accused Kyrgios of lacking respect before the Australian responded by calling him "super-salty".
Yet the respect for each other's ability on the court, despite their wildly contrasting styles, has rarely been in doubt.
"When Nick is playing like he did today with this positive attitude he brings a lot of things to our sport," said Nadal, who won his only Australian Open title in 2009.
"I encourage him to keep working like this because he is one of the biggest talents of our tour."
Get Involved #bbctennis
Nadal 6-3 3-6 7-6 (8-6) 7-6 (7-4) Kyrgios
Charlotte: I'm exhausted after listening to that. Vamos Rafa! Kudos to Kyrgios for playing to his ability and not showing himself up like he usually does when it doesn’t go his way on court.
James Stevenson: That was a great match. Well done Nick for fighting to the end. Rafa wore him down. He’s a machine. Probably only one man who can stop him now.
Akinpelu Kayode A: Well played Nick and Rafa. I wanted a fifth, but I thoroughly enjoyed that. Nick didn't have enough left in the tank.
The last eight
Rafael Nadal (Spa, 1) vs Dominic Thiem (Aut, 5)
Stan Wawrinka (Sui, 15) vs Alexander Zverev (Ger, 7)
Tennys Sandgren (US) v Roger Federer (Sui, 3)
Milos Raonic (Can, 32) v Novak Djokovic (Ser, 2)
'This victory gives me more positive feelings'
Nadal 6-3 3-6 7-6 (8-6) 7-6 (7-4) Kyrgios
Rafael Nadal on facing Dominic Thiem next: "It will be a tough match, we know each other very well, he's a great character, a fighter and hits the ball very well.
"I am moving in the right direction though and hopefully this victory gives me more positive feelings."
'Nick is one of the highest talents'
Nadal 6-3 3-6 7-6 (8-6) 7-6 (7-4) Kyrgios
Rafael Nadal on Nick Kyrgios: "It was a very tough match. You are never in control against Nick because he's so difficult to break. I played a scary game at 5-4, accepted that and tried to find the level of my tennis again.
"When Nick is playing like today he gives a lot of positive things to our sport and I encourage him to keep playing like this because he is one of the highest talents.
"I have liked the Nick Kyrgios during the whole of this tournament."
'Kobe Bryant an inspiration to the world of sport'
Nadal 6-3 3-6 7-6 (8-6) 7-6 (7-4) Kyrgios
Rafael Nadal, speaking to John McEnroe on court, pays tribute to basketball legend Kobe Bryant: "It is terrible news, I'm super sad. He was one of the greatest sportsmen in history and deserves a round of big applause.
"He always wanted to increase his level and was an inspiration to the world of sport and a lot of kids."
Post update
Rafael Nadal puts on a Los Angeles Lakers hat on at the end as a tribute to basketball legend Kobe Bryant, who died yesterday.
Game, set and match - Nadal
Nadal 6-3 3-6 7-6 (8-6) 7-6 (7-4) Kyrgios
Rafael Nadal has done it. He wins a fantastic match as Kyrgios goes into the net and Nadal springs into the air in delight.
A respectful shake of the hands at the net. A match both players could be proud of. Thrilling entertainment.
Nadal, an Australian Open winner in 2009, is on the hunt for Grand Slam title number 20. Dominic Thiem, the Austrian who is seeded fifth, is next up in the quarter-finals.
Post update
A great serve from Nadal, right into the Kyrgios body, the Australian does well to get anything on it, but sends it way too long. Two match points for Nadal. 6-4.
Post update
But a huge forehand down the line from Kyrgios keeps it lively. 5-4 to Nadal, with two serves to come. If he wins both points it's Dominic Thiem in the last eight for the world number one.
Post update
With Nadal at the back of the court, Kyrgios tries his luck with a drop shot, but there's not enough pace on the ball and it drops short. Advantage Nadal, he leads 5-3. Two more shots for the quarter-finals.
Post update
A great out-swinging serve from Nadal, Kyrgios can get a racquet on it, but can't get it over the net. 4-3 Nadal.
Post update
But then a crouching backhand from Kyrgios has his head in his hands as the shot rolls into the foot of the net and a scream of 'nooooooooo' follows. 3-3.
Post update
Kyrgios thinks he has found the tramline, Nadal thinks he hasn't but Hawk-Eye shows the Australian was right. 3-2 Kyrgios
AFPCopyright: AFP
Post update
Nadal 6-3 3-6 7-6 (8-6) 6-6 Kyrgios
David Law
BBC Radio 5 Live Sports Extra tennis commentator
It's been an absolute treat to watch this match.
Post update
Nadal 6-3 3-6 7-6 (8-6) 6-6
A perfect serve, ace number 25 of the match for Kyrgios, makes it 2-2.
Post update
But Nadal takes the next one and he leads 2-1 in the tie-break.
Post update
Nadal 6-3 3-6 7-6 (8-6) 6-6
Nadal, from the baseline, saves a couple of shots, Kyrgios fails to put away a smash but Nadal nets. 1-1.
Live Reporting
Michael Emons
All times stated are UK
Getty ImagesCopyright: Getty Images -
Rafael Nadal (Spa, 1) vs Dominic Thiem (Aut, 5)
-
Stan Wawrinka (Sui, 15) vs Alexander Zverev (Ger, 7)
-
Tennys Sandgren (US) v Roger Federer (Sui, 3)
-
Milos Raonic (Can, 32) v Novak Djokovic (Ser, 2)
AFPCopyright: AFP
Latest PostThanks and goodbye
That is the end of this live page so thanks as always for joining us and for your comments.
We will be live again for Ashleigh Barty's quarter-final against Petra Kvitova from about 01:30 GMT on Tuesday morning, followed by Tennys Sandgren versus Roger Federer and then Milos Raonic in his match with Novak Djokovic so hopefully you can join us for those.
Until next time, bye for now.
Watch highlights on BBC Two
BBC Two
Tune in at 15:15 GMT to watch the best of the day's action from Melbourne.
It is definitely worth a watch as that was one brilliant match.
Nadal beats Kyrgios to reach quarters - read the report
Nadal 6-3 3-6 7-6 (8-6) 7-6 (7-4) Kyrgios
Jonathan Jurejko
BBC Sport at Melbourne Park
Spanish top seed Rafael Nadal battled past rival Nick Kyrgios in a thrilling four-set match to reach the Australian Open quarter-finals.
Nadal, 33, had not dropped a set this tournament before 23rd seed Kyrgios provided his biggest test so far. Kyrgios, who wore a Kobe Bryant basketball shirt in the warm-up, battled hard but Nadal came through 6-3 3-6 7-6 (8-6) 7-6 (7-4).
Nadal will face Austrian fifth seed Dominic Thiem in the last eight.
Nadal and Kyrgios have not always seen eye to eye with the rivalry blowing up last year after a tempestuous meeting in Acapulco. Afterwards the 19-time Grand Slam champion accused Kyrgios of lacking respect before the Australian responded by calling him "super-salty".
Yet the respect for each other's ability on the court, despite their wildly contrasting styles, has rarely been in doubt.
"When Nick is playing like he did today with this positive attitude he brings a lot of things to our sport," said Nadal, who won his only Australian Open title in 2009.
"I encourage him to keep working like this because he is one of the biggest talents of our tour."
Get Involved #bbctennis
Nadal 6-3 3-6 7-6 (8-6) 7-6 (7-4) Kyrgios
Charlotte: I'm exhausted after listening to that. Vamos Rafa! Kudos to Kyrgios for playing to his ability and not showing himself up like he usually does when it doesn’t go his way on court.
James Stevenson: That was a great match. Well done Nick for fighting to the end. Rafa wore him down. He’s a machine. Probably only one man who can stop him now.
Akinpelu Kayode A: Well played Nick and Rafa. I wanted a fifth, but I thoroughly enjoyed that. Nick didn't have enough left in the tank.
The last eight
'This victory gives me more positive feelings'
Nadal 6-3 3-6 7-6 (8-6) 7-6 (7-4) Kyrgios
Rafael Nadal on facing Dominic Thiem next: "It will be a tough match, we know each other very well, he's a great character, a fighter and hits the ball very well.
"I am moving in the right direction though and hopefully this victory gives me more positive feelings."
'Nick is one of the highest talents'
Nadal 6-3 3-6 7-6 (8-6) 7-6 (7-4) Kyrgios
Rafael Nadal on Nick Kyrgios: "It was a very tough match. You are never in control against Nick because he's so difficult to break. I played a scary game at 5-4, accepted that and tried to find the level of my tennis again.
"When Nick is playing like today he gives a lot of positive things to our sport and I encourage him to keep playing like this because he is one of the highest talents.
"I have liked the Nick Kyrgios during the whole of this tournament."
'Kobe Bryant an inspiration to the world of sport'
Nadal 6-3 3-6 7-6 (8-6) 7-6 (7-4) Kyrgios
Rafael Nadal, speaking to John McEnroe on court, pays tribute to basketball legend Kobe Bryant: "It is terrible news, I'm super sad. He was one of the greatest sportsmen in history and deserves a round of big applause.
"He always wanted to increase his level and was an inspiration to the world of sport and a lot of kids."
Post update
Rafael Nadal puts on a Los Angeles Lakers hat on at the end as a tribute to basketball legend Kobe Bryant, who died yesterday.
Game, set and match - Nadal
Nadal 6-3 3-6 7-6 (8-6) 7-6 (7-4) Kyrgios
Rafael Nadal has done it. He wins a fantastic match as Kyrgios goes into the net and Nadal springs into the air in delight.
A respectful shake of the hands at the net. A match both players could be proud of. Thrilling entertainment.
Nadal, an Australian Open winner in 2009, is on the hunt for Grand Slam title number 20. Dominic Thiem, the Austrian who is seeded fifth, is next up in the quarter-finals.
Post update
A great serve from Nadal, right into the Kyrgios body, the Australian does well to get anything on it, but sends it way too long. Two match points for Nadal. 6-4.
Post update
But a huge forehand down the line from Kyrgios keeps it lively. 5-4 to Nadal, with two serves to come. If he wins both points it's Dominic Thiem in the last eight for the world number one.
Post update
With Nadal at the back of the court, Kyrgios tries his luck with a drop shot, but there's not enough pace on the ball and it drops short. Advantage Nadal, he leads 5-3. Two more shots for the quarter-finals.
Post update
A great out-swinging serve from Nadal, Kyrgios can get a racquet on it, but can't get it over the net. 4-3 Nadal.
Post update
But then a crouching backhand from Kyrgios has his head in his hands as the shot rolls into the foot of the net and a scream of 'nooooooooo' follows. 3-3.
Post update
Kyrgios thinks he has found the tramline, Nadal thinks he hasn't but Hawk-Eye shows the Australian was right. 3-2 Kyrgios
Post update
Nadal 6-3 3-6 7-6 (8-6) 6-6 Kyrgios
David Law
BBC Radio 5 Live Sports Extra tennis commentator
It's been an absolute treat to watch this match.
Post update
Nadal 6-3 3-6 7-6 (8-6) 6-6
A perfect serve, ace number 25 of the match for Kyrgios, makes it 2-2.
Post update
But Nadal takes the next one and he leads 2-1 in the tie-break.
Post update
Nadal 6-3 3-6 7-6 (8-6) 6-6
Nadal, from the baseline, saves a couple of shots, Kyrgios fails to put away a smash but Nadal nets. 1-1.