Wingate and Finchley dropped out of the FA Trophy at the first hurdle, following an injury-time winner in their First Round replay at Hayes & Yeading.
Like Saturday’s meeting between these two, Wingate took an early lead in the first half.
But chances were squandered by the Blues, allowing Hayes to equalise almost immediately after the restart.
A dull second-half followed and, just as extra-time loomed, Hayes scored the winner with seconds left on the clock.
Wingate found themselves in front after just seven minutes when Henry Ochieng fired a pass into the box that was brilliantly gathered by Ahmet Rifat and finished into the bottom corner with the outside of his boot.
That seemed to be a wake-up call for the home side and Elliot Buchanan and Omar Rowe both forced Shane Gore into diving saves.
Olumide Oluwatimilehin almost doubled the visitors’ lead but dragged his shot across the face of goal, while Sean Grace made a fantastic block to deny Hayes’ James Clark as he pulled the trigger from close range after half an hour.
From then on, it was all Wingate until the half-time whistle.
Tommy Tejan-Sie couldn’t sort his feet out after receiving a low cross just yards from goal, before Alan Fleming contrived to curl what seemed a certain goal over the bar when put through one-on-one.
Roman Michael-Percil, Saturday’s goalscorer, hit the inside of the post from the edge of the box before seeing another shot deflect just wide, meaning the Blues yet again took a one-goal lead into the break.
But within seconds of the whistle blowing to start the second half, Hayes were level.
Joe Grant’s attempted cross deflected off Sean Grace and looped into the back of the net to make it 1-1.
Very little else happened as both sides suffered injuries and wayward shots on a cold night in West London, with neither keeper called into question until the last 10 minutes.
But, in the fourth of four minutes of added-time, Liam McDevitt rose highest from a corner and headed Hayes into the next round at Wingate’s expense.
Two trophies and the League left to focus on, Wingate’s next game is away to East Thurrock on Saturday.
Report by Andrew Gerlis