A largely defence-dominated game saw chances at a premium in a low-key reunion day for City with former boss Parkinson, with the visitors recording a fifth successive league draw - a sequence last recorded back in September 1991.
On the goalless stalemate, McCall, who said that Mark Marshall was adamant that he was fouled in the box by David Wheater in the final quarter - only for the City winger to receive a caution for simulation - said: "We are disappointed. I don't think we deserved to win, but we are still disappointed that we have not come and won as prior to the last minute, we were trying to win the game.
Bolton Wanderers 0 Bradford City 0: Stalemate for Bantams"The plus side is how we defended. It is the narrowest park in the league and with the balls that come in with the free-kicks and corners and from the second balls, I don't think they had an opportunity, which is testament to the lads' desire.
"They know they (Bolton) had a height and physical advantage, but they defended manfully.
"We were frustrated a little bit (going forward) and it was stop-start a lot. We know in the last third that we needed to be a bit more clinical and intricate.
"But we still felt that we could have got the winner on the break. On a couple of occasions, we should have got shots off no doubt about that, while Marsh is adamant it was not a dive.
"He felt it was 100 per cent not a dive and that he was taken out. But they can be fine lines, can't they."