Substitute Christian Benteke grabbed a stoppage time goal to give Liverpool what had seemed an unlikely share of the spoils at Anfield.
Eden Hazard had marked an otherwise forgettable end-of-season encounter with a stunning goal as Chelsea looked set to take all three points on Merseyside.
The Belgian continued his recent resurgence with a top drawer goal just after the half hour, dribbling past numerous Liverpool challenges into the 18-yard box before sliding a shot low past Simon Mignolet.
Daniel Sturridge came close to grabbing a Liverpool equaliser after the break but, in truth, the Reds already appeared to have one eye on next Wednesday’s Europa League Final against Sevilla in Basel.
They were gift-wrapped a reprieve, however, when Asmir Begovic made a hash of a late cross into his six-yard box, presenting Benteke with the simplest of headers to ensure the points were shared.
Liverpool started the game in positive fashion and, for the opening 15 minutes, it was the visitors that appeared to have their minds elsewhere.
That all changed on 32 minutes, Hazard picking the ball up wide on the left before cutting infield on a mazy run that took him past three red-shirted players into the penalty box before he drove a low right-footed shot into the far corner of Mignolet’s net.
Bertrand Traore could have doubled Chelsea’s lead before half time, Mignolet suffering from a bout of indecision after he raced off his line only to quickly backtrack and allow Traore to curl a shot just beyond his upright.
Hazard stung the palms of Mignolet once more on 58 minutes before Sturridge passed up a great chance to level on the hour.
He ran on to a neat reverse pass from Adam Lallana but was denied by a strong left hand from Begovic.
Jurgen Klopp sent on Sheyi Ojo with three minutes left and he almost registered with his first touch, volleying across goal after a cross from Joe Allen.
Ojo was the provider in added time however, his left-wing cross appeared straightforward for Begovic to deal with, but the Chelsea gloveman inexplicably elected to palm the ball across his own goal, where Benteke was given an unmissable chance to head home Liverpool’s equaliser.