Many clubs must get through replays but the reward on offer is huge.
Should Solihull manage to beat Blackpool, they would welcome Arsenal.
If Southport beat Tranmere they will host Tottenham Hotspur.
Woking are through - and they have a home tie with Premier League Watford.
Wrexham will also take on a top flight side, if they win at Newport. Leicester City will come to north Wales if they can do the job next week.
John Still's Barnet are certainly through - they travel to Sheffield United, the Championship high flyers.
Here is who the National League clubs have been drawn against...
FA Cup third round draw:
Tranmere Rovers/Southport v Tottenham Hotspur
Wrexham/Newport v Leicester City
Solihull Moors/Blackpool v Arsenal
Woking v Watford
Sheffield United v Barnet