The Stones will be away to Yeovil Town on Saturday 13 December.
A Dajon Golding first-half brace saw Maidstone beat Torquay United 2-0 on Saturday.
The Glovers enter the competition in this round. The National League side are currently 18th after 19 games. Of those, they have won six, drawn two and lost 11.
The winning club will receive £4,500 from the FA Trophy prize fund, with the losing club receiving £1,250.
Isuzu FA Trophy Third Round draw
1. Solihull Moors vs. AFC Fylde
2. Harborough Town vs. Carlisle United
3. Alvechurch vs. Gainsborough Trinity or Alfreton Town
4. Hartlepool United vs. Anstey Nomads
5. South Shields vs. Macclesfield
6. Clitheroe vs. York City
7. Scunthorpe United vs. Peterborough Sports
8. Worksop Town vs. Kidderminster Harriers
9. Curzon Ashton vs. Marine
10. Hereford vs. Radcliffe
11. Leamington vs. Rochdale
12. Southport vs. Leek Town
13. Tamworth vs. Boston United
14. FC Halifax Town vs. FC United of Manchester
15. AFC Telford United vs. Altrincham
16. Gateshead vs. Morecambe
17. Boreham Wood vs. Brackley Town
18. Leatherhead vs. Harrow Borough
19. Yeovil Town vs. Maidstone United
20. Forest Green Rovers vs. Weston Super Mare
21. Hemel Hempstead Town vs. Horsham
22. Chatham Town vs. Plymouth Parkway
23. Wealdstone vs. Cheshunt
24. Dorking Wanderers vs. Bath City
25. Woking vs. AFC Totton
26. Dagenham & Redbridge vs. Hanwell Town
27. Eastleigh vs. Aldershot Town
28. Southend United vs. Truro City
29. Ebbsfleet United vs. Braintree Town
30. Walton & Hersham vs. Sutton United
31. Gloucester City vs. Worthing
32. Dover Athletic vs. Hornchurch
Round dates
Fourth Round Proper: Saturday 10 January 2026
Fifth Round Proper: Saturday 31 January 2026
Sixth Round Proper: Saturday 28 February 2026
Semi Final: Saturday 28 March 2026
Final: Sunday 17 May 2026
