Postpublished at 20:56 British Summer Time 15 August 2017
Chris Waddle
Ex-Spurs and England winger on 5 live Sport
Mane keeps going past players as if they are not there. Just get the ball out wide to him every time. He is the match-winner here.
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Uth strike gives Hoffenheim hope for second leg
Milner cross loops in off Nordtveit deflection after Alexander-Arnold scores free-kick
Mignolet saves Kramaric penalty after Lovren foul on Gnabry
Second leg on Weds, 23 August - winner reaches group stage
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Chris Waddle
Ex-Spurs and England winger on 5 live Sport
Mane keeps going past players as if they are not there. Just get the ball out wide to him every time. He is the match-winner here.
Hoffenheim 0-1 Liverpool
Sadio Mane cuts inside and smashes a shot at goal, but there's to many bodies in the way. Mane is looking a real threat.
Hoffenheim 0-1 Liverpool
The Hoffenheim fans are cheering as Serge Gnabry lashes the ball into the back of the net. It won't count, though, the linesman has his flag raised. Correct decision. The former Arsenal man was offside when the ball came to him.
Chris Waddle
Ex-Spurs and England winger on 5 live Sport
He should score there. Mane has been a threat all game and he gets in down the left. Firmino thinks he only has to make contact to score.
Hoffenheim 0-1 Liverpool
Should be 2-0!
Sadio Mane scampers off down the left and shrugs his marker off to get into the box. He crosses low for Roberto Firmino, who has just the goalkeeper to beat, but the Brazilian's shot is straight at Oliver Baumann before the ball rebounds off a defender and just wide.
Hoffenheim 0-1 Liverpool
They may have sauntered out of the tunnel but the Hoffenheim players switch on immediately as the whistle goes as Serge Gnabry plays a dangerous early cross into the box, but Liverpool clear.
Hoffenheim 0-1 Liverpool
Oh they've decided to wander out onto the pitch now and the second half is under way.
Hoffenheim 0-1 Liverpool
Liverpool are eager to get straight on with the second half. They are out on the pitch taking up their positions. The Hoffenheim players, meanwhile, are having a good natter in the tunnel, keeping the visitors waiting.
Ilyas Najib: If Trent Alexander-Arnold is this good, I honestly can't wait to see what Trent Alexander-Arnold-Peters will be like.
Abbas Pardhan: Good 1st half of entertaining football. Penalty saves, youth talent and free kicks make this a great start to LFC's euro season.
Jurgen Klopp has been joined in the Premier League this season by his best bud David Wagner, who led Huddersfield to promotion last season.
The two often have dinner together... and go shopping for glasses as well, judging by the below.
Chris Waddle
Ex-Spurs and England winger on 5 live Sport
Hoffenheim missed a poor penalty but over the first 45 minutes Liverpool have just shaded it. They have had most of the possession. Salah should have scored and Lovren has just headed wide but a good job so far.
Hoffenheim 0-1 Liverpool
The whistle goes for half-time.
An enjoyable 45 minutes of football with Liverpool ahead.
Hoffenheim 0-1 Liverpool
But it's Liverpool who go close to a second as Dejan Lovren nods a header just wide of the far post.
So close.
Hoffenheim 0-1 Liverpool
The 45 minutes are up and there's one minute added on. That chance has perked Hoffenheim right up and they are finishing the half on the front foot.
Chris Waddle
Ex-Spurs and England winger on 5 live Sport
It is a great save from Mignolet again. It sat up well for Gnabry and Wagner should have scored following up.
Hoffenheim 0-1 Liverpool
BIG chance for Hoffenheim!
A high ball into the box causes all sorts of problems for Liverpool as Joel Matip gets brushed off by Serge Gnabry in the middle of the box. The Hoffenheim forward sweeps a shot at goal, Simon Mingolet blocks it before Sandro Wagner shoots wide from loose ball.
Matt VP: Will I get abuse if I say the wall was really weak for that free kick?
Run Matt, run now!
Hoffenheim 0-1 Liverpool
Nathaniel Clyne is going to have a job on to get back into this Liverpool side. As you've all observed, Trent Alexander-Arnold looks the business. A great goal, but some excellent surging runs forward as well.
Viv: A well placed and well taken free-kick. Well done lad!
Loz Smith: Wow! Seeing him take fks and corners at Watford I said I'd love to see him take a fk in a shooting position. Trent looks good
Charlie Smith: Liverpool have got a serious talent on their hands in Trent. Looks one of the most accomplished players out there...
Hoffenheim 0-1 Liverpool
Emre Can stings Oliver Baumann's hands soon after. The hosts are hungry for more.