After coming from 2-0 down with six minutes remaining to claim a point at Prescot Cables on Saturday, Clitheroe advanced past Kendal Town in the Integro League Cup on Tuesday night.
At Prescot, the Blues fell behind after only four minutes.
The hosts got down the right, and James Edgar shifted the ball onto his left foot and drilled a shot into the far corner.
Clitheroe were shell-shocked, and Prescot looked to build on their lead, with former Blue Lloyd Dean and Rob Doran both going close.
Simon Haworth’s side responded after quarter of an hour as James Walker’s devilish corner was headed against the post by Danny Brady.
Doran passed up a big chance to make it 2-0 moments later, failing to trouble Chris Thompson when the ball landed at his feet.
Just after the half hour, Mitch Bryant looked to have forced an equaliser, but his effort was deflected in off Alex Newby, who was adjudged to be in an off-side position.
Two minutes later, Kirk Willoughby went close with a free kick which flashed across goal, but the Blues went into the break behind.
The Blues improved in the second half, and Bryant had a good opportunity to level matters after a fine run from Brad Carroll, before, on the hour, Newby forced a save after being sent clear by Willoughby.
Thompson made two superb saves to keep Clitheroe in it, but after 69 minutes, he was unable to hold a low cross, and Doran forced the ball home.
But with six minutes remaining, Brady led by example and pulled a goal back, and at the death, Tom Williams broke down the left, and his driven cross was glanced into the net by Dimitri Tuanzebe to spark delirious scenes.
Clitheroe built on the recovery at Kendal, taking a third minute lead with another header from Tuanzebe.
And Tuanzebe was involved again three minutes from the break when he was brought down by the keeper, and Carroll scored from the spot.
The Blues were not troubled after that, as they eased through to the second round.
Clitheroe host Goole on Saturday in the league.