Postpublished at 10:56 Greenwich Mean Time 22 January 2019
Tiafoe 3-6 1-2 Nadal*
Frances Tiafoe is out of the picture, Rafa Nadal steadying himself for a forehand winner - and he misses!
Another break point for Tiafoe.
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
Amy Lofthouse
Tiafoe 3-6 1-2 Nadal*
Frances Tiafoe is out of the picture, Rafa Nadal steadying himself for a forehand winner - and he misses!
Another break point for Tiafoe.
Tiafoe 3-6 1-2 Nadal*
And Nadal, being Nadal, clonks down a superb, out wide serve that Tifaoe sends long.
Deuce.
Tiafoe 3-6 1-2 Nadal*
Well then!
Rafa Nadal steadies himself as a Tiafoe cross-court swipe takes a nibble off the net, but Tiafoe keeps counter-punching, coming down the lines and eventually he smashes his way to break point.
Tiafoe 3-6 1-2 Nadal*
Can Frances Tiafoe make some inroads?
He's 0-30 up on the Nadal serve as the Spaniard misses a couple of shots, but one goes begging with a hoick of a forehand.
Nadal goes into the body with his serve and Tiafoe, cramped for room, goes long. 30-30.
Gigi Salmon
Radio 5 live sports extra tennis commentator at Melbourne Park
Nadal just crushes your spirit. He gives every single point 100%. He never gives up.
Tiafoe 3-6 1-2 Nadal*
Back-to-back errors on the backhand from Rafael Nadal, and Frances Tiafoe holds.
*Tiafoe 3-6 0-2 Nadal
Tiafoe swats a backhand cross-court to go 15-0 up, but Nadal is still dictating these rallies.
OH! Nadal spins around as he meets Tiafoe's serve with a backhand slice, his back to the court - and somehow he manages to pass Tiafoe! A no-look winner!
Just to prove to us that he is mortal, Nadal lashes an easy forehand over the tramlines for 30-30.
Gigi Salmon
Radio 5 live sports extra tennis commentator at Melbourne Park
I do see Frances Tiafoe winning a Slam. I don't know if I'm getting sucked in by his athleticism and the fun which surrounds him, though, because there's no standout shot.
*Tiafoe 3-6 0-2 Nadal
Ace number five gets Nadal's serve ticking along. What a difference that new serve is making.
Another ace and a service winner rush Rafa into a love hold.
Simon Briggs
Daily Telegraph tennis correspondent on BBC Radio 5 live sports extra
It's almost as if some of these players do a deal with the devil - they are prepared to sacrifice their life post-retirement in search of more glory.
Gigi Salmon
Radio 5 live sports extra tennis commentator at Melbourne Park
Nadal doesn't half give his body a pounding - you have to wonder what long-term damage he is doing with daily injections to get himself going.
Tiafoe 3-6 0-1 Nadal*
A screamer to break serve!
Frances Tiafoe comes forward and with a whirl of the wrists, Rafael Nadal passes him with an almighty forehand.
*Tiafoe 3-6 0-0 Nadal
Frances Tiafoe has Rafa Nadal where he wants him, stranded cross-court, but his strike down the line is overworked to go 0-30 down.
A bobble off the net takes Tiafoe's forehand over the tramlines and without doing very much, Nadal has three break points.
*Tiafoe 3-6 0-0 Nadal
Frances Tiafoe will serve first and try and get a foothold in this match.
Simon Briggs
Daily Telegraph tennis correspondent on BBC Radio 5 live sports extra
It's dominant and ruthless command of the centre of the court from Nadal. It's a 6-3 set but it didn't feel that close. Tiafoe has been run ragged.
Tiafoe 3-6 Nadal
Woof.
The final rally is all angles, Tiafoe charging around behind the baseline, Nadal sending him this way and that - and eventually Nadal sends a forehand winner into the corner!
With exactly 30 minutes on the clock, Nadal takes the first set.
Tiafoe 3-5 Nadal*
Again, Frances Tiafoe is at the net with Rafael Nadal on the baseline - and again, he bunts his volley long!
Right idea, wrong execution. It's 30-15 on Nadal's serve and a one-two punch gives him two set points.
Russell Fuller
BBC tennis correspondent at Melbourne Park
Nadal normally studies the draw at a tournament closely but he says he hasn't this time and he is taking each match at a time.
Tiafoe 3-5 Nadal*
Frances Tiafoe should win a point as he dictates a rally at the net, but he pushes his backhand long.
A long Nadal backhand takes us to 40-30 and the Spaniard, darting across to meet a drop shot, is through with his forehand too early.
Nadal will have to serve this one out.
*Tiafoe 2-5 Nadal
There's only 21 minutes on the clock.
Rafa Nadal hasn't dropped a point on his first serve.