Reds beat Tottenham 2-1 at Wembley, Man City, Chelsea and Arsenal secure three points
Liverpool extended their perfect start to the season as goals from Georginio Wijnaldum and Roberto Firmino ensured the Premier League leaders punished woeful Tottenham with a 2-1 win on Saturday.
Jurgen Klopp's side avenged last season's 4-1 thrashing at Tottenham with a large helping hand from their error-prone hosts.
Wijnaldum opened the scoring late in the first half at Wembley after a mistake from Tottenham goalkeeper Michel Vorm.
Firmino wrapped up Liverpool's fifth successive win soon after the interval when the Brazil forward tapped in after more sloppy defending and another Vorm misjudgement.
Erik Lamela got one back for Tottenham in stoppage-time, but it was too late to rescue an undeserved draw.
This mature display was a real statement of intent by Liverpool, who have made their best start since 1990-91 as they chase a first English title since 1989-90.
Not for the first time this season, the Reds triumphed through hard work, a superbly drilled defence and opportunistic finishing rather than replicating the kind of swaggering play that took them to the Champions League final last season.
But Klopp, a winner at Wembley for the first time, won't be complaining after securing a rare away victory at one of their top six rivals, proving they are likely to be the biggest threat to champions Manchester City.
For Tottenham, this was a dispiriting second successive defeat that served as a major blow to their own title ambitions.
Mauricio Pochettino had accused Tottenham of treating their 2-1 loss at Watford like a "testimonial".
Challenging his players to show a killer instinct, Pochettino was expecting a fired-up response.
But instead Tottenham almost fell behind misreably.
City beat fulham
MANCHESTER: Leroy Sane needed only two minutes to score on his first Premier League start of the season and set Manchester City on its way to a 3-0 win over Fulham on Saturday.
David Silva scored his 50th EPL goal to put City in control at halftime, before Raheem Sterling sealed a comfortable victory after the break.
The victory keeps defending champion City within two points of early leaders Liverpool and Chelsea, which both maintained perfect starts to the season.
Hazard nets 3
LONDON: Eden Hazard's hat trick ensured Chelsea kept its perfect start with a 4-1 victory over Cardiff.
Sol Bamba shocked Chelsea with Cardiff's first away goal of the season, but Hazard's treble and a late goal by Willian saw Maurizio Sarri became the fourth manager to win his first five Premier League games.
He joined an elite club of Carlo Ancelotti (Chelsea), Pep Guardiola (Manchester City) and Craig Shakespeare (Leicester).
Chelsea kept pace with Liverpool at the top of the table.
Arsenal on roll
NEWCASTLE: Arsenal defeated Newcastle 2-1 to record successive away English Premier League victories for the first time in more than a year.
Granit Xhaka scored from a long-range free kick and helped to set up Mesut Ozil for Arsenal's second before a late Ciaran Clark header ensured a nervous finish.
After losing his first two matches in charge of the club, Unai Emery has guided Arsenal to three consecutive victories.
Arsenal's first consecutive away league wins since May 2017 indicate progress is being made under Emery, who replaced Arsene Wenger after last season.
other games
BOURNEMOUTH: Ryan Fraser's double inspired Bournemouth as it beat 10-man Leicester 4-2 and kept up its strong start.
Scotland winger Fraser struck twice before Josh King converted a penalty to put Bournemouth in complete control by the break.
Leicester captain Wes Morgan was sent off midway through the second half, leaving space for Adam Smith to volley in Bournemouth's fourth.
Leicester struck through James Maddison and Marc Albrighton in the closing stages.
Elsewhere, Wilfried Zaha provided another reminder of his importance to Crystal Palace with a stunning solo goal in a 1-0 win at struggling Huddersfield.
Palace has lost its last 12 league games when Ivory Coast winger Zaha has been absent, the latest of which came in the London club's previous game, a 2-0 defeat at home to Southampton before the international break.
Roy Hodgson's side's performance was little better at Huddersfield, but a moment of individual brilliance from Zaha shortly before halftime earned a scarcely deserved victory.