Despite leaking two first-half goals, the Hoops turned the game around to earn a hard-fought draw away from home.
While O’Neill was pleased with the comeback and the eventual result, he believes Celtic could have achieved even more.
“We got off to a bad start obviously, they get a goal, crowd up for the game, those types of things,” he told the club website.
“Then we concede a poor second goal, and we have not been good in the second half.
“Breaking down when we had moments to deal with the ball and it kept breaking down for us.
“But the second half, other than first three or four minutes, belonged totally to us.
“Before we got the penalty kick, we had chances to win, and we deserved at least a point in the game considering our second-half performance.”