The Reds dropped more points early in the season, and their new striker now faces suspension for his red-card offence.
Tottenham came from behind twice at Stamford Bridge to rescue a point against Chelsea in a wild encounter that ended with both coaches being sent off.
Manchester United suffered one of their worst defeats of the Premier League era.
The Gunners were dominant going forwards as they secured a second consecutive win to begin the season.
Pep Guardiola's squad made easy work of the Cherries, with Kevin De Bruyne scoring a fantastic goal in the victory.
Aston Villa held on late as Everton pushed for an equaliser in the closing moments.
Taiwo Awoniyi made the difference in a tight encounter as the Premier League newcomers got their first win, leaving West Ham pointless after two matches.
Newcastle were brought back to earth as Brighton continued a promising start to the season.
Leeds threw away two advantages as Rodrigo's brace went to waste.
A quiet affair resulted in shared points between Wolves and Fulham.
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