Postpublished at 50 mins
Arsenal 0-2 Chelsea
Pierre-Emerick Aubameyang gets a ripple of applause as he comes out to warm up. It is very half-hearted, though.
Lukaku scores his first ever Chelsea goal in dominant win at Arsenal
James doubles advantage after fine team move
Gunners have lost both their opening matches
Result: Wolves 0-1 Tottenham - Alli penalty
Kane comes on as second-half substitute
Result: Southampton 1-1 Man Utd - Greenwood cancels out Adams opener
Phil Dawkes
Arsenal 0-2 Chelsea
Pierre-Emerick Aubameyang gets a ripple of applause as he comes out to warm up. It is very half-hearted, though.
Arsenal 0-2 Chelsea
Romelu Lukaku continues to lead Pablo Mari a merry dance. He gets the ball with his back to goal and looks to be muscling in for a shot before the ball is finally poked away from him.
Arsenal 0-2 Chelsea
It's still raining and Chelsea are immediately on the front foot.
Arsenal 0-2 Chelsea
Do Arsenal have any fight left in them?
Do Chelsea fancy more goals?
The second-half is under way and will provide answers to both.
HT: Arsenal 0-2 Chelsea
Clinton Morrison
Former Republic of Ireland striker on BBC Radio 5 Live Sports Extra
Credit Chelsea, Lukaku only had two touches before his goal but it doesn't matter how many touches he has he had the important touch that put the ball in the net.
Reece James scored the second goal and it was a great move. Reece James has been the best player in that first half.
FT: Wolves 0-1 Tottenham
Wolves
Wolves boss Bruno Lage speaking to Match of the Day: "In the end we feel like we created 25 chances, in both games 42, and didn't score a goal - it is important to score goals to get some points. I am confident with the process we are doing, this is the fifth week are working all together.
"The main point was to challenge the players, play the game like we did here, we try to work and improve but what we did against these two opponents is two good performances. But in the end we didn't score and we didn't win points, the competition is about points.
"I don't believe in luck, I believe in work and we work hard. We prepared very well for this game against a strong opponent. The way we defend, press high, managed the ball side to side, the chances we create - it's just about scoring goals.
"A full house with supporters, from the first minute I feel that support not just for me but for the players."
FT: Southampton 1-1 Man Utd
Southampton
Southampton boss Ralph Hasenhuttl tells Match of the Day: "I think we tried this time in a different way. We wanted to change something because you know out history in the second half. We could see that the plan was going in the right direction and this is a big step forward for us.
On the challenge on Bruno Fernandes leading to Southampton's goal: "I was always a big fan of letting the game run a little bit more. This is why I liked English football to be honest. This is why the English football is different to other leagues because of this situation."
On Valentino Livramento: On his position, he shows how good he is. That was the reason I immediately gave him the chance to play. Keep it calm about him, he has a lot of good but he has a lot of things still to learn and we will help him."
FT: Southampton 1-1 Man Utd
Manchester United
Manchester United manager Ole Gunnar Solskjaer tells BBC MOTD: "You feel you can get three points in a game like this on a day like this. The first couple of minutes we weathered the storm but then played some very goof football until they scored. We lost our heads and momentum and after we scored we have a good five minutes spell. The last 120 mins was a ding-dong, we were too careless.
"A couple of them were fouls when I played. Decisions go against you sometimes. You know what they are going to do, kick our players and there are quite a few fouls the referee has let go. If that is the way they want to go, we will get injuries. Hopefully we can find a middle way, it has gone from one extreme to the other.
"Sloppy by us and if you do that they are quick, David de Gea made a great save (from Adam Armstrong).
"Jadon Sancho did well when he came on but we lost our way in the last 20 minutes."
FT: Wolves 0-1 Tottenham
Wolves
Wolves boss Bruno Lage speaking to Sky Sports: "When you have the way we played the game, the chances we created, 25 chances to score one goal - in the past two games we created 42 chances, I am unhappy about the result but happy with the work we are doing.
"The first penalty is the right decision but in the second one, for us, the same fault in midfield - I thought it was a penalty for our side, but I don't want to talk about refs. We have VAR to analyse these sorts of questions.
"For me, more important was how we played, unfortunately we didn't score. Adama (Traore) works hard all week, he did a good performance, to attack, in the transitions, the way he defends - the way we work he can only improve more and the most important thing is how he creates chance. If he works, the goals will come. I am confident with out process."
FT: Southampton 1-1 Man Utd
Manchester United
Manchester United manager Ole Gunnar Solskjaer tells Sky Sports: "It's a game that they can win, we can win. They started with a couple of set plays early on and when we weathered that storm we played very good. We could have and should have scored a few. When they scored we lost our heads a bit. After half-time we were good again until we scored, and then in the last 15-20 we lost momentum and lost out shape. Maybe fitness issues, maybe other things.
On the foul on Bruno Fernandes before Southampton scored: "It seems like football has gone from one extreme to the other. That's a foul 100%. But it happens in football. You don't get every decision and we should have reacted better. It might be lucky to deflect off Fred but he shouldn't have dangled his leg, he should have blocked that shot. We need better reactions when we don't get those decisions.
"For a spell I thought we could cut them open a little bit. We lacked penetration and some runs in behind and that threat which will create space for Paul and Bruno in the middle but we'll get that sorted.
"It's still early on in the season. We're still not 100% fit and then there are tactical issues we need to correct, but most of it was tiredness and sloppiness. We'll get there, don't worry about that."
FT: Southampton 1-1 Man Utd
Southampton
Southampton boss Ralph Hasenhuttl tells Sky Sports: "It is a pity, we also had a few chances after the equaliser to win the game but a fantastic performance from our side. We changed the shape completely in the second half and I have not seen so many chances for Manchester United. The important thing is the first point of the season and absolutely deserved.
"They tried everything after the first 10 minutes and we tried to reorganise. We didn't give them so many chances so it was OK.
On Valentino Livramento: "Very impressed, not surprised. It is a good signing yes."
"I didn't have the feeling we were under pressure in the last few minutes and it was a big step forward for us. It is important you are competitive."
FT: Wolves 0-1 Tottenham
Tottenham Hotspur
Spurs boss Nuno Espirito Santo to BBC Sport: "When I arrived today I felt this is a special moment. Four years of our lives together. It will stay in our memories.
"It is always good to start a game with a goal. It makes things much easier but this side of the game we have a lot of things to look at. It was a very demanding game, we were compact and defended well. I'm very proud of the boys – they worked very hard today.
"It’s a big achievement for Hugo Lloris – 300 games for the club shows loyalty and dedication.
"I’m pleased but we have a long way to go and a lot of things to improve. We have to improve the players but I’m proud because the first step is to believe."
On the Harry Kane latest: “He played. He took his process. He is getting back to his fitness. He still has to improve and he helped the team today. He is one of the best players in the world. We are very lucky to have him."
FT: Southampton 1-1 Man Utd
Southampton
Southampton striker Che Adams to BBC Sport: "I think they gave him (Fred) the goal because he doesn't score many, I'll take it [deflection] as an assist.
"We dug in well and got the point. They are a top, top team but we battled well and got a deserved point.
"We had chances at the end to nick it ourselves but have to take the positives today and move on to next week.
"Adam Armstrong is hard to defend and I like playing with him."
Earlier, Southampton and Manchester United drew 1-1 and Tottenham won 1-0 at Wolves. Here is some more reaction from those games...
Arsenal 0-2 Chelsea
Boos from the home fans. For the Arsenal players? For the ref who didn't give them a penalty? For Chelsea for just been too good for them?
The Blues are in complete control and have higher gears should they need them.
Arsenal 0-2 Chelsea
Swung in, headed clear and a Gunners player is offside as the ball is worked back in.
It is absolutely smashing it down. It was sunny 30 minutes ago.
Arsenal 0-2 Chelsea
Another Gunners corner...
Arsenal 0-2 Chelsea
Khan Karn: Ridiculous decision, that’s a penalty, Tierney(the ref) missed it there, Chelsea lucky.
Antoine V.: Wait, what? So… HOW is that not a pen?
Tom Sharpe: How on earth was that not a penalty? As blatant a foul you'll see
Arsenal 0-2 Chelsea
The corner swings through to Cedric Soares on the opposite edge of the box and his cross is headed down but only for Chelsea to clear. Soon after, Rob Holding flies in dangerously and catches Marcos Alonso. A definite yellow.
Arsenal 0-2 Chelsea
Arsenal are at least ending the half well. They win another corner.