The Reds dropped more points early in the season, and their new striker now faces suspension for his red-card offence.
Liverpool 1-1 Crystal Palace: Diaz saves point after Nunez headbutt
Chelsea 2-2 Tottenham: Kane gets late equaliser in crazy London derby
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.
Brentford 4-0 Man Utd: De Gea mistake begins brutal defeat
Manchester United suffered one of their worst defeats of the Premier League era.
Arsenal 4-2 Leicester City: Brilliant Jesus nets brace
The Gunners were dominant going forwards as they secured a second consecutive win to begin the season.
Man City 3-0 Bournemouth: De Bruyne scores beauty with outside of boot
Pep Guardiola's squad made easy work of the Cherries, with Kevin De Bruyne scoring a fantastic goal in the victory.
Aston Villa 2-1 Everton: Mings returns in hard-fought win
Aston Villa held on late as Everton pushed for an equaliser in the closing moments.
Nottingham Forest 1-0 West Ham: Awoniyi fires hosts to first win
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.
Brighton 0-0 Newcastle: Magpies grounded amid sky-high expectations
Newcastle were brought back to earth as Brighton continued a promising start to the season.
Southampton 2-2 Leeds: Walker-Peters nets second-half equaliser
Leeds threw away two advantages as Rodrigo's brace went to waste.
Wolves 0-0 Fulham: No goals at Craven Cottage
A quiet affair resulted in shared points between Wolves and Fulham.