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Holders Ebbsfleet have been handed a potential home draw in the FA Trophy second round.
The Fleet, who play their first round game at Bognor on Tuesday night after a washout last weekend, will host Stourbridge or Stalybridge Celtic if they can see off the Blue Square South strugglers.
Welling have been given an away draw if they can get past Weymouth on Tuesday night.
The winners of that tie will travel to Hednesdford Town or Nantwich Town in the next round.
Second round ties are due to be played on January 10 with prize money of £6,000 up for grabs.