Michael Essien scored two goals for Chelsea to help the Blues beat West Ham 3-1.
Goalkeeper Pepe Reina was the hero for Liverpool, making some amazing saves to keep the score against Birmingham 0-0.
Arsenal new boy Marouane Chamakh scored his second Premier League goal in their 4-1 win against Bolton.
Manchester United were 3-1 up against Everton as the game went into injury time. But Everton snatched two back to level the game 3-3.
Manchester City's Patrick Vieira scored the equaliser in their 1-1 draw against Blackburn. The West Brom Tottenham and Wigan Sunderland matches also finished 1-1.
Blackpool are up to fourth in the Premier League after winning 2-1 at Newcastle. Fulham also won over the weekend beating Wolves 2-1.