The clubs - hosting National League South Whitehawk and Ryman Premier Dulwich Hamlet respectively - are bidding to confirm their berths in the second round in first round replays.
A waterlogged pitch forced North Leigh, the EVO-STIK League Southern's other surviving club in Non-League's showpiece cup competition, to postpone their scheduled replay with Ryman South South Park.
For a full classified results service, visit the results pages via the home page from full-time. Stay in touch with all of Tuesday night's league and trophy action on Twitter by following @SouthernLeague1.
Follow the EVO-STIK League Southern on Twitter at @SouthernLeague1
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