Dorchester's reward for dumping FA Trophy holders Stevenage Borough out of the competition is a home tie against Ebbsfleet United.
Local rivals Histon and Cambridge United have been paired together for the second year running.
Blue Square Premier leaders Aldershot face a trip to Woking, which is one of five ties pairing teams from the top level of non-league football.
Second round ties are to be played on Saturday 12 January, 2008.
The two lowest-ranked teams left in the competition, Ryman Premier Division duo Tonbridge Angels and AFC Wimbledon, face each other.
FA Trophy second round draw:
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