Pardew was particularly aggrieved by referee Craig Pawson's failure to award a penalty to his side for Gareth Barry's tug on Mile Jedinak's shirt in the box in the second half of the game.
He said: "I think it was a fair result. We showed all the quality that we have as a team, and Everton are in top form.
"We still almost won and, but for a couple of refereeing decisions which, in my opinion he got wrong, we could have won it.
"Sometimes you can win when you perhaps don't deserve to and that could have happened if those decisions went our way.
"I think it was obvious from where I was standing that (Jedinak's) shirt was being pulled, but the referee and linesman didn't see it, which I was surprised at."