It was the League Two side who took the lead early in the second-round tie when Rhys Oates fired home a penalty after being brought down inside the box.
The hosts hit back impressively to get back on level terms when Stephen O'Halloran fired home from close range as Salford ensured they would be in the hat for the third-round draw.
Read below to find out how Salford earned a replay.
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"It'll be a really tough game, they're at home and I think every person in the country wants us to be beaten so we're fighting the nation - except everybody in Hartlepool," he told BBC Tees.
HARTLEPOOL: Carson, Duckworth, Bates, Jackson, Carroll, Featherstone, Magnay, Gray, Oates, Mandron, Fenwick