Raul Meireles hit the opener for Liverpool, but Sylvain Distin and Jermaine Beckford turned the game on its head shortly after half-time. Dirk Kuyt salvaged a point from the penalty spot when goalkeeper Tim Howard fouled Maxi Rodriguez.
"I was going to most games (prior to his appointment) and I couldn't believe the players did not get more wins than they did because they are much better players than where they are at the moment," said Dalglish.
"But there are a lot of people who have said that and the best way for us to put our words into practice are by performances like that.
"I have not been surprised negatively by anyone since I came in. Positively I have been really pleased with the attitude of the players.
"There is a lot we still have to analyse but really there has been a lot of positive things from the players.
"We are happy with the way we are playing. There is a lot of belief coming back into the players and that is great for us."