Here's a selection of images from some of the club's more memorable encounters in the competition from season 2005/06 to present.
9.
Chib Chilaka, the hero of the first-round win at Torquay, rattled the Hastings cross-bar with a late header. | Getty
11.
Shane Killock challenges Dee Okojie as Town battle for a way back into the game. However, with 89 minutes on the clock, they were still trailing... | Getty
12.
...that was until Tom Platt popped up to score once again, his last-gasp strike from Dave Merris' cross forcing the tie into extra-time. | Getty
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