Chris Moore struck in the fourth minute of injury-time to earn Brentford a draw and leave both sides unbeaten.
Moore chased Adam Griffiths' long pass and capitalised on a defensive error to slot home his second goal this week.
Dean Hammond had put Albion ahead with a penalty after Thomas Pinault pushed Tony Stokes and Gary Hart doubled the lead from from Adam El-Abd's cross.
Kevin O'Connor put the Bees back in the game by firing in a direct free-kick in his 200th appearance for the club.