Match ends, Liverpool 3, Southampton 0.
Liverpool won a seventh straight match from the start of a season for the first time by easing past a luckless Southampton at Anfield.
The hosts took the lead after just 10 minutes when Xherdan Shaqiri's cross deflected off Shane Long and then Wesley Hoedt for a peculiar own goal.
Joel Matip rose above opposing centre-back Jannik Vestergaard to head in Trent Alexander-Arnold's corner and double the advantage.
Liverpool effectively made sure of victory just before the break as Shaqiri's superb free-kick came down off the crossbar and Mohamed Salah turned the ball in from close range.
Saints were not quite as poor as the scoreline suggests but largely sat back in the second half, perhaps content not to be embarrassed - though Salah did have a goal disallowed for offside late on.
Jurgen Klopp's side go back to the top of the Premier League with their sixth straight win in the competition, and they also beat Paris St-Germain in their Champions League opener on Tuesday.
More to follow.
Match ends, Liverpool 3, Southampton 0.
Second Half ends, Liverpool 3, Southampton 0.
Offside, Liverpool. Sadio Mané tries a through ball, but Mohamed Salah is caught offside.
Corner, Southampton. Conceded by Alisson.
Attempt saved. Charlie Austin (Southampton) right footed shot from the left side of the box is saved in the bottom left corner. Assisted by Cédric Soares.
Offside, Liverpool. Roberto Firmino tries a through ball, but Mohamed Salah is caught offside.
Attempt blocked. James Milner (Liverpool) left footed shot from the centre of the box is blocked.
Attempt blocked. James Milner (Liverpool) right footed shot from the centre of the box is blocked.
Mohamed Salah (Liverpool) wins a free kick in the attacking half.
Foul by Jannik Vestergaard (Southampton).
Attempt missed. Andrew Robertson (Liverpool) left footed shot from the centre of the box is just a bit too high following a corner.
Corner, Liverpool. Conceded by Jan Bednarek.
Substitution, Southampton. Charlie Austin replaces Shane Long.
Foul by Roberto Firmino (Liverpool).
Cédric Soares (Southampton) wins a free kick in the defensive half.
Foul by Mohamed Salah (Liverpool).
Wesley Hoedt (Southampton) wins a free kick on the left wing.
Substitution, Liverpool. Naby Keita replaces Georginio Wijnaldum.
Joel Matip (Liverpool) wins a free kick in the defensive half.
Foul by Shane Long (Southampton).
Georginio Wijnaldum (Liverpool) wins a free kick in the defensive half.
Foul by Ryan Bertrand (Southampton).
Corner, Liverpool. Conceded by Ryan Bertrand.
Mario Lemina (Southampton) is shown the yellow card for a bad foul.
Sadio Mané (Liverpool) wins a free kick on the left wing.
Foul by Mario Lemina (Southampton).
Offside, Liverpool. Andrew Robertson tries a through ball, but Sadio Mané is caught offside.
Substitution, Southampton. Jan Bednarek replaces Oriol Romeu.
Substitution, Southampton. Stuart Armstrong replaces Matt Targett.
Substitution, Liverpool. Joseph Gomez replaces Virgil van Dijk because of an injury.
Delay over. They are ready to continue.
Delay in match Virgil van Dijk (Liverpool) because of an injury.
Joel Matip (Liverpool) wins a free kick in the defensive half.
Foul by Shane Long (Southampton).
Substitution, Liverpool. James Milner replaces Xherdan Shaqiri.
Second Half begins Liverpool 3, Southampton 0.
First Half ends, Liverpool 3, Southampton 0.
Goal! Liverpool 3, Southampton 0. Mohamed Salah (Liverpool) left footed shot from very close range to the bottom right corner following a set piece situation.
Xherdan Shaqiri (Liverpool) hits the bar with a left footed shot from outside the box from a direct free kick.
Mohamed Salah (Liverpool) wins a free kick in the attacking half.