Rafael Nadal wins in straight sets 6-3 6-4 6-2 to reach semi-finals
Second seed plays Stefanos Tsitsipas next, who beat Roberto Bautista Agut in four sets
Petra Kvitova beat home favourite Ashleigh Barty 6-1 6-4 - plays Danielle Collins next
Simon Briggs
Daily Telegraph tennis correspondent on BBC Radio 5 live sports extra
The journalists like to get together for a hit in the mornings. Stuart Fraser of The Times is a good player. I think he used to play in the junior ranks in Scotland.
Tiafoe 3-6 4-6 2-3 Nadal*
Tiafoe hoicks his forehand into the net - that's his 32nd unforced error - for 30-30.
That's brilliant though, Tiafoe going one way with the serve and cracking a winner the other, before Nadal hits a return over the tramlines.
#bbctennis
Emma Goodwin: I’m in work listening to the Rafa match and I keep jumping up from my desk and I’m getting some funny stares. Vamos Rafa.
*Tiafoe 3-6 4-6 1-3 Nadal
Feels slightly strange, watching the sweat pouring off Rafa in the Australia heat while outside of the window next to me it is full on snowing.
Ooft. Nadal hits the absolute backside off a forehand that rips through Tiafoe's defences and a drive down the line tidies up the hold.
Tiafoe 3-6 4-6 1-2 Nadal*
A love hold for Tiafoe. Convincing. But it means nothing without a break of serve...
Image source, Getty Images*Tiafoe 3-6 4-6 0-2 Nadal
A backhand winner gets Tiafoe up and running in his latest service game. It's getting to the now or never stage. An ace backs it up nicely. 30-0.
*Tiafoe 3-6 4-6 0-2 Nadal
And, naturally, Rafael Nadal whizzes through his service game.
Or does he? 40-0 becomes 40-30 thanks to a loose backhand, but a huge first serve consolidates Nadal's break.
That second Australian Open title is looking good.
Russell Fuller
BBC tennis correspondent at Melbourne Park
This is like boot camp for Tiafoe.
Tiafoe 3-6 4-6 0-1 Nadal*
Frances Tiafoe drags his backhand into the net!
As it has in the past two sets, Rafael Nadal gets the early break.
Image source, Getty Images*Tiafoe 3-6 4-6 0-0 Nadal
Good serve out wide from Tiafoe, and Nadal whooshes a forehand out.
30-40.
*Tiafoe 3-6 4-6 0-0 Nadal
Tiafoe has been broken in his first service game of both sets so far.
And Rafa's going to have another crack at it as he brings up two break points with an outrageous drop shot.
*Tiafoe 3-6 4-6 0-0 Nadal
Frances Tiafoe will serve to begin the third set.
*Tiafoe 3-6 4-6 Nadal
Rafa Nadal's serving has been so strong tonight.
He's won 33 of 39 points on his first serve and 11 from 17 on his second serve. That's backed up with seven aces and 20 winners.
Tiafoe 3-6 4-6 Nadal
Rafael Nadal is a set away from the Australian Open semi-finals.
Image source, Getty ImagesTiafoe 3-6 4-5 Nadal*
Tiafoe goes to challenge the whip down the line...
...and then he cancels it, which causes the crowd and the umpire to burst out laughing.
Tiafoe 3-6 4-5 Nadal*
A few errors from Tiafoe, although he does well to get racquet on a Nadal thunderbolt down the line, and another delicious whip brings up three set points.
Tiafoe 3-6 4-5 Nadal*
Rafa Nadal will serve for the set.
Once the ball kids have removed a feather from the court, that is.
Gigi Salmon
Radio 5 live sports extra tennis commentator at Melbourne Park
When Rafa is in this kind of form, it's suffocating. With most other players, there will be a dip. That is rarely the case with Nadal.
Tiafoe 3-6 4-5 Nadal*
A battle of the slice backhands, and it's Tiafoe who wins as Nadal floats the ball over the tramlines.
Ace! Tiafoe holds. Nadal's going to have to serve it out again.
Image source, Getty Images*Tiafoe 3-6 3-5 Nadal
"Come on!" says Tiafoe as he gets a first serve into Nadal's body, and the second seed can only bunt a return long.