Blue Square Premier leaders Burton Albion will face Salisbury City in the FA Trophy second round after beating Farsley in their first-round replay.
Trophy holders Ebbsfleet United will visit Stalybridge Celtic, 6-1 winners against Stourbridge.
Barrow face local rivals Workington in one of only two fixtures that were fully settled in the initial draw after bad weather forced many postponements.
The second-round ties will be played on the weekend of Saturday, 10 January.
Lewes v Havant & Waterlooville
Ilkeston Town v Kidderminster
Burton Albion v Salisbury
Basingstoke v Wrexham
Hednesford v Welling
Forest Green v Redditch
Tiverton v Kettering
Durham City v Southport
AFC Telford v Hayes & Yeading
Farnborough v Stevenage
Torquay v Rushden & Diamonds
Ebbsfleet Utd v Stalybridge
Barrow v Workington
Uxbridge v Swindon Supermarine
Oxford United v York City
Cambridge Utd v Crawley Town
Ties to be played on the weekend of Saturday, 10 January
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