Following Monday lunchtime's draw at Wembley, the Glassboys, 1-0 winners at National League Braintree Town on Saturday, will face their Premier Division rivals if the Dabbers can overcome Avenue when the sides play their postponed second round tie on Wednesday night.
Eight ties were pulled out of the hat at the national stadium with the winners set to collect £7,000 in prize money when they are played over the weekend of Saturday 6 February.
FA Trophy Third Round Proper draw
Torquay United v Truro City or Macclesfield Town
Grimsby Town v Havant & Waterlooville
Gateshead v AFC Fylde
FC Halifax Town or Barrow v Chester
Woking v Oxford City or Cheltenham Town
Dover Athletic v Guiseley
Sutton United v Bognor Regis Town or Altrincham
Bradford Park Avenue or Nantwich Town v Stourbridge
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