John McGrath headed the Brewers in front three minutes before half-time but Jake Speight rescued a point for the Bantams after 72 minutes, slotting home at the back post after Albion had failed to clear a long throw.
Peschisolido said: "I am absolutely happy at the commitment, work rate and our finesse in front of goal.
"Was it two points dropped or one point gained? A bit of both. We had our chances to win but away from home we will take a point.
"Jake Speight livened things up for Bradford but we kept them reasonably quiet until he scored.
"We have had an horrendous backlog of games and are now playing three games a week but we dug deep and got this point."
Source: PA
Source: PA