Chris Hughton's side went ahead through Jonny Howson and despite Brighton playing well, it did not look like the Championship club would be able to cancel out the 25-year-old's effort.
However, with just seven minutes left, Solly March scored with a stunning shot from 25 yards to share the spoils between the two sides.
It was Javier Garrido who set up Howson's opener after 27 minutes with his cross inviting a goalmouth scramble that the former Leeds United captain seemed to get the last touch to.
Hughton's side had a narrow advantage that luckily remained as Brighton's Andrea Orlandi slipped in front of goal just a few yards out to miss a sitter.
Hughton's side will next face Sporting Braga away on Friday before pitting themselves against La Liga club Real Sociedad four days later.
