The draw for the Buildbase FA Vase fifth round proper was made at Wembley Stadium on Monday.
Following Saturday's fourth round games, ties for the last-16 stage are now set for Saturday 28 January.
Hinckley AFC are in the fifth round for the first time in their history following a 5-0 win over Berkhamsted at the weekend and will have home advantage in the next round when they face Buckland Athletic.
And Southall are also rewarded for beating higher-ranked opposition in the shape of Bradford Town on Saturday, with a home tie against Exmouth.
Holders Morpeth Town saw their fourth round tie at South Shields abandoned and, in accordance with the Competition Rules, the match shall be replayed on or before this coming Saturday. The winners will face a long trip to Team Solent in the fifth round.
Winners of the fifth round proper receive £1875 from The FA's prize fund.
The draw
1 Cleethorpes Town v Atherton Collieries
2 Southall v Exmouth
3 Bromsgrove Sporting v Bristol Manor Farm or Melksham Town
4 Crowborough Athletic v Coleshill Town
5 Hinckley v Buckland Athletic
6 Newport Pagnell Town v Sunderland RCA
7 Ely City v Sporting Khalsa
8 Team Solent v South Shields or Morpeth Town