LONDON, Aug. 25 -- Liverpool made a statement of intent to confirm their candidacy for the Premier League title, beating Arsenal 3-1 at Anfield in the third weekend of the season to remain top of the table.
Mohamed Salah scored twice to allow Jurgen Klopp's men to send out a clear message to their title rivals that this year they mean to go all the way.
Arsenal had started the season with two wins and traveled to Liverpool with hopes of showing they too have title ambitions, but although coach Unai Emery will be able to reflect on an improved performance from last year's 5-1 defeat, his side still have ground to make up.
Sergio Aguero scored twice and Raheem Sterling hit the target again as Manchester City won 3-1 away to Bournemouth to maintain their excellent record against Eddie Howe's side and go second in the table.
Harry Wilson was on target for Bournemouth, but the south coast side have now scored just four goals while conceding 28 in their last nine games against City.
Tottenham looked to be real title challengers last weekend after drawing at the Etihad Stadium, but their hopes suffered a setback as they lost 1-0 at home to Newcastle United, who had lost their opening two games of the campaign.
A first-half goal from Brazilian striker Joelinton gave Steve Bruce's side a much-needed win as Spurs also saw a late penalty claim turned down by VAR.
Frank Lampard saw his faith in youth rewarded as Chelsea won an entertaining match 3-2 away to Norwich City.
Tammy Abraham scored twice for Chelsea with Mason Mount netting their other goal, while Todd Cantwell and Teemu Pukki scored for a Norwich side that again showed it has more than enough talent to survive this season.
Manchester United slipped up badly with a 2-1 defeat at home to Crystal Palace in a game which had a dramatic finish.
The visitors led through Jordan Ayew's goal on the break, but United should have leveled through Marcus Rashford's penalty which bounced back off the post. Rashford took the kick after Paul Pogba had seen a penalty saved last week against Wolves.
Despite Rashford's miss, Daniel James' goal looked to have earned United a point in the 89th minute, but Patrick Van Aanholt's injury-time winner broke United hearts and gave Roy Hodgson's side their first Premier League win at Old Trafford.
A wonderful goal from Harvey Barnes gave Leicester City a 2-1 win away to Sheffield United.
Jamie Vardy put Leicester ahead, but Oliver McBurnie leveled when he headed home his first Premier League goal just after the hour.
Southampton finally got the ball rolling after beginning the season with two defeats, as they won 2-0 away to Brighton & Hove Albion.
The Saints' cause was helped greatly when Brighton striker Florin Andone was sent off for a wild 30th minute tackle, leaving the home side to play an hour with ten men. Moussa Djenepo and Nathan Redmond then scored the goals which will ease the pressure on Southampton.
Concerns are mounting at Watford where Javi Gracia's side crashed to their third defeat in three games, losing 3-1 to West Ham United. Mark Noble's third-minute penalty put West Ham ahead and although Andre Grey canceled that goal out 15 minutes later, Sebastian Haller took advantage of some poor home defending to ensure the points went back to east London.
Finally, Wolves made it three draws from three games when their match at Burnley ended 1-1.