After winning 2-1 at Bury Town in the first round proper on Saturday, Ryman Premier title-chasers Hamlet will host either National League Guiseley or the Evo-Stik Northern Premier League's Burscough following Monday lunchtime's draw at the national stadium.
The Rocks, who knocked out National South Maidstone United in Kent at the weekend after Luke Kandi's 17th winner, were also rewarded with a home tie with either Evo-Stik League Southern Leamington or National League Altrincham arriving at Nyewood Lane on Saturday 16 January.
As well as a place in the last 16, both top flight clubs will also collect a further £6000 in prize money if they can keep their runs going after Christmas in Non-League's showpiece competition.
FA Trophy Second Round Draw
1 Dulwich Hamlet v Burscough or Guiseley
2 Dover Athletic v Southport or Worcester City
3 Havant & Waterlooville v Welling United
4 Truro City or Cirencester Town v Macclesfield Town or Ashton United
5 Braintree Town or Bromley v Stourbridge
6 Chester v Hungerford Town
7 Eastbourne Borough v AFC Fylde or Skelmersdale United
8 Concord Rangers or Sutton United or Lowestoft Town v Curzon Ashton or Nuneaton Town
9 Torquay United or Chesham United v Wrexham
10 Grimsby Town or Solihull Moors v Weston Super Mare or Wealdstone
11 FC Halifax Town or Tamworth v Barrow
12 Eastleigh v Gateshead or Stocksbridge Park Steels
13 Bognor Regis Town v Altrincham or Leamington
14 Bradford Park Avenue or Lincoln City v Nantwich Town
15 Woking v Maidenhead United
16 Oxford City v Cheltenham Town
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