The Western Premier League rivals put on a good show with Jordan Metters giving the visitors the lead after 31 minutes.
And they stayed in front until the 62nd minute when it took a cracking effort from Gavin Hammon to level the scores.
The FA Vase
Second Round Proper
Wednesday 26 November
Winning sides receive £1,200 from The FA prize fund
The match seemed destined to be heading for extra time until two minutes before the end when Shane Gill laid on a simple finish for Jordan Havlin to score a late winner for the Devon side.
Buckland will now face Bodmin Town at home in the next round.
Bromsgrove Sporting were the big winners of the evening as they romped to a 5-0 away win at Borrowash Victoria.
Sporting will travel to Thurnby Nirvana on Saturday 6 December in the Third Round.
The weather conditions put a stop to the rest of the evening’s action as the ties between Littlehampton Town v Abingdon United and AFC Darwen v Chadderton were postponed.
Both ties will be replayed next Wednesday.