Philippe Coutinho and Divock Origi got on the scoresheet to chalk out Benik Afobe’s opener.
But former Manchester United ace Joshua King struck late to salvage a point for the Cherries.
His goal was the 39th that Liverpool have conceded in the league this season – more than any other club in the top seven.
Liverpool boss Jurgen Klopp was critical of his side after their draw with Bournemouth
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And Klopp has admitted that King’s goal nearly had him spluttering on the sidelines in frustration.
“The second goal off a set-piece, that made me nearly vomit,” Klopp said.
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“We have to work on it. Immediately I thought ‘what the beep.’
Joshua King rescued a point for Bournemouth against Liverpool
“It should feel disappointing. But tomorrow, we have to remember it’s one point gained and maybe take this as positive.
“The start was not the best. We were a little late in the mind, not really concentrated and there were three, four situations before their goal we were not on.
“Simon’s dribbling, Ragnar’s pass. You could feel a nervousness in the stadium.”