The Reds were held to a 2-2 stalemate by Everton, leaving Kenny Dalglish still without a victory since taking charge as Liverpool boss.
The Blues missed the chance to go top of the League as they were held to a 1-1 stalemate by Everton at Stamford Bridge.
Tim Cahill and Mikel Arteta both scored in stoppage time as Everton claimed a 3-3 draw against Manchester United who did not field Wayne Rooney against his former team amid tabloid reports about his private life.
The introduction of MLS loan signing Landon Donovan for his debut gave Everton an extra creative edge, but Tomas Rosicky snatched a crucial point for Arsenal as they drew 2-2 against the Toffees. The Gunners moved within three points of Premier League leaders Chelsea.
Everton manager David Moyes has confirmed that Landon Donovan will be joining the Toffees on a short-term loan deal loan deal when the January transfer window opens.