Luke Waterfall’s last gasp winner sent Grimsby into the Play-Off Final as the Red Dragons fell narrowly short at the Racecourse.
The barnstorming nine-goal affair began with a Paul Mullin penalty, which thumped past Crocombe.
McAtee, fired back with a superb strike before Waterfall got his first and Grimsby’s second of the match to put them ahead.
Wrexham roared straight back and two goals in the space of three minutes from Tozer and Mullin put them back ahead.
Paul Hurst’s side completed the comeback for the second time of asking, as Taylor and Dieseruvwe made it 4-3.
Jordan Davies managed to claw it back for Wrexham, taking the game to extra time, before Waterfall’s goal made the difference.
It was a spirited performance by the Red Dragons, but sadly not enough to secure victory.
Phil Parkinson named two changes to the Wrexham side that lost at Wembley to Bromley last weekend.
Grimsby remained unchanged, from their superb comeback at Meadow Lane on Monday night against Notts County.
John McAtee thought he’d got the Mariners off to a flyer, as he cooly finished past Dibble, but the offside flag ruled it out.
Grimsby should have been ahead moments later, as a well-floated corner was met by Ryan Taylor, but it was headed over the bar.
However, it was the Red Dragons who broke the deadlock, as Mullin was brought down inside the area, before thumping the ball home from the spot.
Paul Hurst’s side got themselves back level, as McAtee’s superb effort from Dibble nestled into the top corner.
Hosannah nearly restored the lead for the hosts, as he latched onto Young’s pass, cut inside but his shot was well saved by Crocombe.
Mullin had the ball in the net for the second time, as he met Tozer’s throw, but referee Adam Herczeg ruled it out for a soft foul.
Bryce Hosannah had himself in the mix again and should have won the Red Dragons a penalty, as he was wiped out by Crocombe.
Parkinson’s men continued to pile on the pressure and Crocombe produced a world-class save to deny Ollie Palmer from heading home.
McAtee lead the way for the Mariners and could have put them ahead, as his audacious attempt crept wide out Dibble’s post.
The Mariners got themselves into the lead at the start of the second half, as Luke Waterfall headed past Dibble.
Harry Clifton had the chance to make it three, as his deflected strike was well tipped round the post by Dibble.
Ben Tozer fired Wrexham level, as he peeled off his man at the back post, to head past Crocombe.
Tozer was back in action once again as he launched his throw into the area, Palmer flicked it on, and Mullin got the final touch past Crocombe.
The Mariners were quick to bounce back, as another great cross was met by Taylor, and he headed past Dibble.
Dieseruvwe made an immediate impact as he was free at the back post, Dibble didn’t jump and the striker had an easy header into the goal.
The Red Dragons finished yet, and Jordan Davies rose like a salmon and headed home to make it four apiece.
Both sides still created chances in the final stages, but neither could be separated as it went into extra time.
The first half of extra time passed without incident before Luke Waterfall headed home again to kill the tie and send the Mariners through.
Wrexham: Dibble(GK), Hosannah (McAlinden 73’), French (Jarvis 120’), Tozer, Cleworth(O’Connor 90’), McFadzean, Young ©, Davies, Jones, Mullin, Palmer(Hyde 105’)
Subs not used: Camp
Bookings: Ben Tozer 45’, Young 98’, Palmer 105’
Grimsby: Crocombe (GK), Amos, Waterfall, Smith (Pearson 90’), Cropper, Sousa, Fox, Houlihan (Raihky 102) , Clifton, McAtee (Abrahams 87), Taylor (Dieseruvwe 75’ )
Subs not used: Maguire-Drew
Bookings: Amos, Taylor, Abrahams, Raikhy, Pearson
Attendance: 9,734