Premier Division rivals Marske United and Marine will go head-to-head for a place in the next round, after Marske came from behind to beat Matlock Town 2-1.
Marine defeated reigning NPL play-off champions Scarborough Athletic 1-0 to set up the date on Saturday 17 December.
The only other remaining team from the NPL is their Premier Division counterparts Guiseley, who beat Warrington Town at the weekend.
They will face fellow Yorkshiremen FC Halifax Town of the National League.
Winners will receive £4,500 in prize money, with losers receiving £1,250.
FA Trophy third round ties involving NPL clubs:
Marske United v Marine
Guiseley v FC Halifax Town
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