The Tangerines had it all to do at the break as they trailed 3-1 after Theo Corbeanu had pulled Michael Appleton's men back into the game.
The 20-year-old forward's finish was sandwiched in-between Nathan Tella's double for the hosts with Josh Brownhill breaking the deadlock early on.
Vincent Kompany’s side appeared to be heading for a first win since the opening day of the season away at Huddersfield Town, but they were denied by a spirited comeback from the visitors.
Shayne Lavery and Jerry Yates converted from close range in the space of just three minutes — with a quarter-of-an-hour left to play — to level proceedings.
Both sides then ended the game with 10 men as Ian Maatsen reacted to a reckless challenge from Sonny Carey, which resulted in both players being given their marching orders by referee Keith Stroud.
Here are Matt Scrafton's player ratings…
Vincent Kompany’s side appeared to be heading for a first win since the opening day of the season away at Huddersfield Town, but they were denied by a spirited comeback from the visitors.
13. SUB: James Husband - 7/10
For Thompson, 76 Produced some vital challenges and headers late on as Burnley pressed for a dramatic last-gasp winner. Photo: CameraSport - Dave Howarth
14. SUB: Sonny Carey - 6/10
For Gabriel, 76 Thought his cynical challenge for the red card probably warranted a red card, but I can see why he did it. Photo: CameraSport - Rich Linley
15. SUB: CJ Hamilton - 7/10
For Lavery, 76 Almost made an instant impact off the bench after being denied by the keeper seconds before Pool’s equaliser. Photo: CameraSport - Dave Howarth
16. SUB: Matty Virtue - 6/10
For Yates, 89 Put in a physical shift late on as Blackpool desperately attempted to see out the final eight minutes of stoppage time. Photo: CameraSport - Dave Howarth