Eastleigh are away to Harlow Town in the first round of the FA Trophy.
Ryman League Premier division Harlow are currently 14th in a table led by Havant & Waterlooville, who they beat 3-1 in the third qualifying round on Saturday.
Eastleigh lost at home to Gateshead in the second round of last year's competition, after taking the lead through James Constable.
Poole Town or Weymouth are away to Whitehawk or St Albans City.
Gosport Borough are away to AFC Sudbury and Dulwich Hamlet, who knocked out Winchester City on Saturday, are at home to Hampton & Richmond Borough or Royston Town.
Ties will be played on Saturday, December 10 with £5,000 up for grabs as well as a place in round two.
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