The Seasiders outplayed their visitors, but not in Dalglish's eyes.
Fernando Torres had given his side the ideal start by firing home in only the third minute but Gary Taylor-Fletcher equalised soon after and DJ Campbell struck the winner with 21 minutes to go as the Seasiders completed a Barclays Premier League double over the Reds.
"We are disappointed we have come away from the game with no points," said Dalglish.
"We got off to a good start; a couple of good passes and Fernando got in and finished really well.
"Their first goal we were on the verge of breaking clear, misplaced a pass and they turned it around, went up the pitch and got a break of the ball off Daniel Agger before their lad finished well.
"If we had just laid the pass off and collected it and gone up the other end of the pitch we would have walked it in for 2-0 and so if there was a turning point that would be it.
"The second goal we cleared the corner quite sufficiently and then it has come back in and we've not picked up."