Federer holdspublished at 11:38 Greenwich Mean Time 20 January 2018
Federer 6-2 7-5 4-1 Gasquet*
A lash into the net from Richard Gasquet hands Roger Federer the advantage.
And it'll be a down the line winner to tidy it up!
Federer beats Gasquet 6-2 7-5 6-4
Djokovic through in straight sets
Kerber thrashes Sharapova 6-1 6-3
Halep wins final set 15-13 to survive marathon match
Watch highlights on BBC Two from 15:00-16:30
Amy Lofthouse
Federer 6-2 7-5 4-1 Gasquet*
A lash into the net from Richard Gasquet hands Roger Federer the advantage.
And it'll be a down the line winner to tidy it up!
Federer 6-2 7-5 3-1 Gasquet*
A fluffed backhand from Roger Federer brings Gasquet into the game at 30-30, but a delightful volley gets him back in front.
Oh, what a shot! A gorgeous forehand from Gasquet, Federer turning his head away as the ball goes spinning past him, and it's deuce.
*Federer 6-2 7-5 3-1 Gasquet
A shimmy forward from Roger Federer and a swish of the forehand sends the ball into the corner to take a point off Gasquet's serve.
Gasquet comes steaming back, drawing the error off the top of Federer's racque, where a man in the crowd takes a good, low catch. A speedy hold for Gasquet.
Federer 6-2 7-5 3-0 Gasquet*
This is an, erm, interesting game from Federer.
Twice he tries two dinky little shots, and twice the ball goes sailing out of play. He chucks a furious serve in to go 40-30 up, before a smash hands him the game.
*Federer 6-2 7-5 2-0 Gasquet
There is the break! A drop shot from Federer and Gasquet gamely chases it down, but his volley doesn't clear the net.
*Federer 6-2 7-5 1-0 Gasquet
Ooft! Roger Federer pumps his fist as he lashes a forehand winner right onto the tramlines. Glorious.
Out of nowhere, Gasquet double faults, and he's handed Federer two break points...
Federer 6-2 7-5 1-0 Gasquet*
Roger Federer serves his way into a crisp lead to start the third set.
There's a stonking forehand down the line from Gasquet, though, to remind everyone that he's not here to make up the numbers.
Mark Woodforde
Australian 12-time Grand Slam doubles champion on BBC Radio 5 live sports extra
That was one of the better sets I've seen Gasquet play. He was trying to be more aggressive but he wasted the first set - why didn't he play that way in the first set?
Now he'll be feeling a bit down given the history between these two players.
Federer 6-2 7-5 Gasquet
Richard Gasquet's backhand drifts long!
Gasquet challenges, but it's a hopeful one. It's out, and Roger Federer takes the second set.
*Federer 6-2 6-5 Gasquet
A newly-working Hawkeye reveals that Richard Gasquet's first serve is out, before a challenge from the Frenchman goes against him.
Fine work from Gasquet, spearing a backhand return in to Federer's toes as he shuffles towards the net, and the two players both nail winners to drag proceedings to 30-30.
Passing backhand from Federer, and that hands him set point...
Piers Newbery
BBC Sport at Melbourne Park
The media centre has been a busy place over the last half hour, with the victorious and the defeated trooping from the lifts into the main interview room to tell their side of the story.
An understandably beaming Angelique Kerber described her tactics in her win over Maria Sharapova:"I was trying to not thinking about the score, I was just going for it, trying to be aggressive and playing my game. And it works. It works from the beginning. I'm happy about how I played tonight.”
Sharapova was fulsome in her praise for the German, saying: "She played extremely well. She was the more aggressive player. She took a lot more risks than I did."
Federer 6-2 6-5 Gasquet*
It'll be Richard Gasquet to serve and try to force a second set tie-break...
Federer 6-2 6-5 Gasquet*
This is a much more equal tussle than the first set, as Federer unfurls a backhand winner that leaves Gasquet shaking his head.
A horrible drop shot and an overworked backhand allows Gasquet a way in, before he spoons a return out.
*Federer 6-2 5-5 Gasquet
A scrappy game from Federer, error after error, before Gasquet commits a mis-step of his own with a swipe at a backhand that finds the net.
Another wide, loopy backhand from Federer, and Gasquet draws himself level once again.
Federer 6-2 5-4 Gasquet*
An unforced error on Federer's backhand brings about a look of annoyance from the world number two and his box.
His response is a lovely serve that rips straight through Gasquet. Fed holds.
*Federer 6-2 4-4 Gasquet
Gorgeous backhand volley from Richard Gasquet as he works his way to a 40-0 lead, before Federer glides a forehand past him.
It's an inopportune moment for Gasquet to double fault, and he grimaces in frustration, before a crunching serve sets him up for a winner.
Federer 6-2 4-3 Gasquet*
Richard Gasquet goes left, and Roget Federer slashes a forehand winner to his right. Gasquet responds with a thunderous backhand that leaves Federer rooted to the spot.
Some grumbling for Gasquet as a Federer serve is called in - and Hawkeye is down, so there's no challenging that! Gasquet's not happy but he lets the call slide.
*Federer 6-2 3-3 Gasquet
Lovely! A slice from Federer forces Gasquet to come charging towards the net, and he plonks his return out of bounds.
Gasquet responds with a pin-point ace down the middle, before he takes a step forward and batters a forehand winner beyond a moving Federer.
Federer 6-2 3-2 Gasquet*
A volley from Roger Federer makes up for an iffy forehand earlier in the game, and he tippy-toes his way through another service game.
* denotes next server
*Federer 6-2 2-2 Gasquet
A member of the crowd asks Roger Federer if he'd marry them, which leads umpire Marija Cicak to come out with a fantastically dry "quiet, please, thank you."
A storming forehand battered down the line is the highlight of the game from Richard Gasquet, as he holds nicely.