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Only one of Kent's three clubs left in the FA Trophy has been drawn at home in the third round.
Dartford will entertain Vanarama Conference rivals FC Halifax Town after they scored late to win 2-1 at Burgess Hill Town in the last round on Saturday.
The two sides are also due to meet at Princes Park in the league tomorrow night (Tuesday).
Darts knocked out Halifax on their way to the semi-finals two seasons ago.
Ebbsfleet United have already claimed two Conference scalps in this season's competition - including a 1-0 win over Forest Green on Saturday - and they'll need to take another if they are to reach the last-eight.
A trip to Essex lies in store for the Fleet after they were drawn away to Braintree Town.
That means manager Jamie Day is heading back to Cressing Road, the ground where his Welling side were knocked out of the Trophy at the first-round stage last season.
Dover Athletic will travel to face the winners of the replay between Woking and Oxford City.
A late goal from Ricky Modeste earned Chris Kinnear's men a 1-0 win at Havant & Waterlooville on Saturday, while Oxford were fighting back to hold the Cards to a 2-2 draw.
It's a third successive away draw for the Whites, who travelled to Lowestoft in round one.
The ties will be played over the weekend of January 24.
FA TROPHY THIRD ROUND DRAW
Braintree Town v Ebbsfleet United
Dartford v FC Halifax Town
Oxford City or Woking v Dover Athletic