Liverpool manager Brendan Rodgers says he needs more attacking options if the Reds are to turn their draws into victories following the goalless stalemate against Merseyside rivals Everton.
Mikel Arteta, Olivier Giroud and Lukas Podolksi scored in the last five minutes as Arsenal came from behind to beat Norwich 3-1. Elsewhere, Everton overcame Queens Park Rangers 2-0 while Aston Villa drew with Fulham.
Mauricio Pochettino began his tenure as manager of Southampton with his side producing a spirited display against Everton in a lively 0-0 draw.
Queens Park Rangers midfielder Shaun Wright-Phillips scored against former side Chelsea to secure a 1-0 win for his relegation-threatened side, while a Luis Suarez brace helped Liverpool overcome Sunderland.
Gareth Barry's last-minute header against Reading ensured Manchester City didn't drop points to the Premier League's bottom side, while a win for Everton sees them move up to fourth.
Goals from Victor Anichebe, Kevin Mirallas and Marouane Fellaini gave in-form Everton a comfortable and deserved 3-0 victory over Swansea City in their Premier League encounter at the Liberty Stadium.