The Bees exit the FA Trophy at the quarter-final stage after Halesowen snatched victory in extra time.
HOW IT HAPPENED
The opening 15 minutes was a cagey affair with neither side testing the opposing keeper. Cheye Alexander created the best opening but nobody could get on the end of his cross.
Dan Sweeney sent in a powerful drive towards goal, only to see his effort well blocked by Josh Hawker. Josh Walker was next to go close as he poked an effort into the gloves of Bunn at the near post.
Up the other end, Ricardo Santos made a goal-saving tackle just as Montel Gibson was going to fire towards goal.
Both sides continued to come forward in the driving London rain, but with conditions playing a factor, chances were at a premium at The Hive.
The best chance of the half fell to Simeon Akinola as the ball fell to him six yards from goal, but he couldn't generate any sort of power to trouble Bunn.
In tricky conditions, the sides went in level at the break with neither side able to make that elusive breakthrough.
Into the second half and the first opening fell the way of David Tutonda, but he slipped and fired his effort wide of the near post.
The Bees started the half the better as they looked to get on the front foot and gain the advantage over their lower league opponents. Alexander tried his luck 10 minutes into the second half but his drive from the edge of the area was well held by Bunn in the visitor's goal.
With an hour on the clock Walker brilliantly cut inside his man, but his curling effort flew wide of the far post. It was Walker involved again as he skipped past his man but fired wide at the near post.
The mounting pressure from the Bees finally told as Josh Walker bundled home from Simeon Akinola's cutback. It was a goal that was very much deserved following a bright start to the second half.
The Yeltz looked to find an equaliser and despite plenty of endeavor, they couldn't create a clear cut opening against a strong defensive Bees unit.
The Bees continued to dictate the tempo of the match as it entered the final 10 minutes and kept possession well as they looked for an important second goal.
The Yeltz first opening came with nine minutes left as Ali headed wide from eight yards out, after a good delivery from the left-hand side.
With five minutes left of normal time remaining the visitors did equalise as Yates bundled home to level the scores.
With just two minutes left Santos made a crucial challenge to deflect Cobourne's effort from six yards out. The visitors sensing blood as the match approached added time.
There was late drama as it appeared that Halesowen had been awarded a 95th penalty, but on consultation with his linesman, a free-kick was awarded. The free-kick came to nothing and we entered extra time.
The opening period of extra time was one of few chances, the best opening fell to Callum Reynolds as he saw a powerful header deflected behind for a corner.
The Bees dominated the first period of extra time but couldn't breakdown a resolute Yeltz side.
The first chance of the second period of extra-time fell to Medy Elito as he connected with Tutonda's cutback, but his effort was well saved by Bunn.
But the Bees pressure was undone by a set-piece, as Cobourne ghosted in and tapped home from a yard out, after an initial header cannoned off the crossbar.
The goal knocked the stuffing out of Currie's side and we couldn't create the opening to send the match to spot-kicks.
Barnet: Loach, Alexander, Johnson, Reynolds, Santos, Dunne, Akinola (Elito 80'), Vilhete (Fonguck 56'(Adams 113')), Walker, Tutonda ( Sparkes 111'), Sweeney.
Unused Subs: Matrevics, McBurnie, Taylor
The Bees return to league action on Tuesday night when they take on Boreham Wood at The Hive London.