Postpublished at 18:38 British Summer Time 3 July 2018
*Djokovic 6-3 3-1 Sandgren
Tennys Sandgren is just trying to find his feet in this second set, and a punchy service game helps.
The American, baseball cap turned the wrong way, holds to love.
Day 2 - First round matches
Sharapova loses to Diatchenko in first round
Edmund & Konta win in straight sets
GB's Boulter seals first Grand Slam win but Watson, Taylor & Dunne go out
Eighth seed Kvitova loses to Sasnovich
Nadal, Djokovic and Halep go through
Champion Muguruza beats Broady
Alex Bysouth and Amy Lofthouse
*Djokovic 6-3 3-1 Sandgren
Tennys Sandgren is just trying to find his feet in this second set, and a punchy service game helps.
The American, baseball cap turned the wrong way, holds to love.
Three wins out of six for the Brits so far.
In: Konta, Edmund, Boulter.
Out: Clarke, Broady, Taylor.
Boulter 6-4 5-7 6-4 Cepede Royg
Jo Durie
Former British number one on BBC TV
That was gutsy. After having a match point in the second set and giving it away, to come back so positively, well done Katie Boulter.
Boulter 6-4 5-7 6-4 Cepede Royg
There's a huge grin on Katie Boulter's face as she gets her kit together and makes her way off court.
Such a big win for the 21-year-old. She'll play either Monica Niculescu or Naomi Osaka next.
Djokovic 6-3 3-0 Sandgren*
Nice from Novak Djokovic, sauntering into the net and casually tucking away a volley with an open forehand.
He eases to a hold to take a 3-0 lead in the second. And here's a Djokovic cracker from earlier...
Boulter 6-4 5-7 6-4 Cepede Royg
Katie Boulter wins!
Her first match win at a Grand Slam. What a moment!
*Boulter 6-4 5-7 5-4 Cepede Royg
A lovely forehand winner puts Boulter 15-0 up, before Cepede Royg lashes a return of serve long.
First serve - in! Three match points for Katie Boulter.
#bbctennis or text 81111
Philip: Is Djokovic a fan of football? Because he is in a hurry right now.
*Boulter 6-4 5-7 5-4 Cepede Royg
Katie Boulter puffs out her cheeks, then heads out to serve for a place in the second round of Wimbledon.
*Djokovic 6-3 2-0 Sandgren
It's all going Novak Djokovic's way at the minute. Tennys Sandgren throws away his opening service game in the second set and the 12th seed takes an early break.
The Novak steam train rumbles on.
*Boulter 6-4 5-7 5-4 Cepede Royg
There it is!
A mini-rally, and it's Veronica Cepede Royg who goes tight and sends a backhand long.
Once again, Katie Boulter will serve for the match.
Boulter 6-4 5-7 4-4 Cepede Royg*
Oosh. Another double fault from Veronica Cepede Royg is followed up by a terrific drive forehand for 15-15.
Cepede Royg swats a forehand into the net and argues furiously with herself, but Boulter misses a backhand down the line at 30-30.
Oh, that's nice from Boulter! Down the line, Cepede Royg nets, and Boulter has another break point...
#bbctennis or text 81111
Charlene: Djokovic well on his way. Come on.
Hooray_K: Never thought l would ever say this but, Novak Djokovic is playing Tennys at tennis.
Halep 6-2 6-4 Nara
Here's Simona Halep after her opening win: "It was a big challenge to come and win the first round - it's not easy after winning a Grand Slam, I knew it was going to be a tough match.
"She's very fast. I wanted to be strong and enjoy the beautiful court.
"I felt OK. I didn't think too much that I didn't have any matches on grass (before Wimbledon). I thought I had enough power to adjust myself. Grass is really tough and every match can go either way. I have no expectations.
"I will enjoy today, because I am really happy I could win the first round."
Boulter 6-4 5-7 4-4 Cepede Royg*
Wallop. Ace number eight from Katie Boulter.
She just misses a forehand for 30-15, before two big serves close it out for the Brit. She's pumped up.
Djokovic 6-3 Sandgren
Talking of world number ones... Novak Djokovic, who formerly held top spot in the men's rankings, has just taken the first set against American Tennys Sandgren.
*Boulter 6-4 5-7 3-4 Cepede Royg
Katie Boulter errs on her forehand, and some more terrific defence from Veronica Cepede Royg ensures she holds.
Who will blink first?
Halep 6-2 6-4 Nara
That's it.
Kurumi Nara's return drifts long and it's world number one Simona Halep who cruises through to the second round.
Boulter 6-4 5-7 3-3 Cepede Royg*
Jo Durie
Former British number one on BBC TV
We can't discount that Cepede Royg will be tight too. She is ranked 123rd at the moment, outside of the Grand Slam main draw. This means so much to both of them.
Boulter 6-4 5-7 3-3 Cepede Royg*
Oh!
Down the line goes Katie Boulter - and misses! She mutters furiously to herself. Deuce.