Nine-time champion Rafael Nadal beats Benoit Paire 6-1 6-4 6-1
Men's champion Novak Djokovic beats Marcel Granollers 6-3 6-4 6-2
Britain's Aljaz Bedene beats Ryan Harrison 6-4 6-0 3-6 6-1
Women's champion Garbine Muguruza through in straight sets
Listen to online only radio commentary
Muguruza 6-2 5-4 Schiavone*
Muguruza makes a real hash of a cross-court backhand and Schiavone has a break point.
Only briefly, though. We go to deuce.
And Muguruz overpowers her opponent with a big serve. Match point to the defending champion.
Image source, Getty ImagesMuguruza 6-2 5-4 Schiavone*
Francesca Schivone isn't going down without a fight. She makes her opponent scuttle about on the clay and then dinks a tiny little winner over the net from close range.
It's 15-15.
Now it's 15-30 after a brilliant forehand down the line.
She's not ready to bow out just yet...
Harrison 4-6 0-6 4-1 Bedene*
After losing nine games in a row at the end of the first set and in the second, you could have expected Ryan Harrison to fold out on Court Three.
He's still going though and now leads 4-1 in this third set.
*Muguruza 6-2 5-4 Schiavone
Garbine Muguruza is back in control. She moves to 0-40 as Schiavone slams a forehand well wide.
She has three break points, but only needs one. Schiavone hits wide again and Muguruza will serve for the match.
Muguruza 6-2 4-4 Schiavone*
Ooooh, this could be an important decision. Schiavone snatches a point off Muguruza's service game when the Spaniard's nifty little drop shot falls just outside the lines. The Umpire is out of her chair to inspect it and confirms it was out.
But the defending champion shows her mettle and holds with a huge serve.
Image source, Getty Images*Harrison 4-6 0-6 2-0 Bedene
What is going on here?
Harrison stops the rot in the first game of the second set and then at 30-30 on his own serve Bedene puts a smash in the net to go break point down.
He goes long on the following point and hands a break to his opponent right at the start of this set.
Image source, AFP*Muguruza 6-2 3-4 Schiavone
Former world number one Arantxa Sanchez, now coach of Francesca Schiavone, rises to her feet and does a double fist pump as she watches her pupil hold her serve and move 4-3 ahead.
Image source, ReutersMuguruza 6-2 3-3 Schiavone*
Now it's Garbine Muguruza's turn to start shouting. The Spaniard lets out a roar as she outdoes her opponent at the net.
But Francesca Schiavone is back in the zone. She pops a delicate drop shot over to earn two break points. The Italian does a little jig to celebrate.
Then it's hands-on-hips time as she misses both opportunities to take the game.
It takes a while, but Muguruza has the advantage and holds after Schivone sends her forehand wide.
Harrison 4-6 0-6 Bedene
That was quick!
In just 18 minutes British number three Aljaz Bedene serves up a bagel to Ryan Harrison.
The American won just seven points in that set.
Image source, Getty Images*Muguruza 6-2 2-3 Schiavone
A helicopter hovers in the sky above. It's really, really noisy but it doesn't seem to distract Francesca Schiavone.
The 36-year-old wins her third game in a row to take the lead in this second set.
Harrison 4-6 0-5 Bedene*
Bedene is flying and Harrison fuming.
In 14 minutes the British player is 5-0 up in this second set.
At 0-40 down the American goes for a huge second serve that is well out.
Yet another game in the bag for the Briton.
Muguruza 6-2 2-2 Schiavone*
Schiavone thinks she's come out on top of a decent rally but she messes up her overhead smash. Silly mistakes are creeping into her game. That's nine unforced errors now, compared to one from Muguruza.
But then the Spaniard double faults for 30-30 and hits long - break point to Schiavone!
And she does break as Muguruza sends a backhand just over the chalk.
This just contest got very interesting...
Image source, Getty Images#bbctennis
Kyle Utterson: Not the best of tennis quality wise but pleased Bedene edged the first set. Hopefully he will up his game and kick on now.
Piers Newbery
BBC Sport in Paris
"We'll just see y'all later," say a departing American couple as their man drops the first set.
Classy stuff from Bedene, who looks so at home on the clay, moving beautifully and sending Harrison scurrying all over the court. The American's fitness will be well and truly tested if he's gettng out of this one.
Harrison 4-6 0-3 Bedene*
Britain's Bedene may be 10 places lower than Ryan Harrison in the world rankings but he is well on top here.
Another beautifully constructed point gives him a double break of serve in this second set.
That's six games in a row now for Bedene.
Image source, AFP*Muguruza 6-2 2-1 Schiavone
Francesca Schiavone is pushed all the way by the Spanish fourth seed on her own service, but she manages to stop the rot and hold.
Andrea Hlavackova
Grand Slam doubles champion in Paris on BBC Radio
Muguruza is cruising on the court, hitting winners left and right.
Muguruza 6-2 2-0 Schiavone*
I tell you what, I wouldn't want to mess with Schiavone right now. She is livid.
The Italian lets out another scream of frustration as Muguruza moves to 30-0.
The defending champion holds to love as her opponent slams a forehand into the net.
Image source, AFPHarrison 4-6 0-1 Bedene*
There is not a single piece of shade from the sun out on Court Three for players or the crowd.
Bedene is showing all of his clay-court prowess now, hitting with plenty of spin and moving well.
Harrison goes wide with a backhand to gift the Briton a break right at the start of this set.
The American is not happy. His racquet gets a hefty whack on the court.
*Muguruza 6-2 1-0 Schiavone
Muguruza earns her 14th consecutive point to move 0-30 ahead and Francesca Schiavone lets out a massive roar of discontent.
Then she double faults. Three break points again to Muguruza.
Schiavone rescues one with an angry overhead smash, but another double fault hands Muguruza the break.