Swindon were defeated 1-0 by National League South outfit Woking.
Barnet, meanwhile, beat National League rivals Stockport 1-0.
Four other non-league sides will also be in the draw later today.
Southport, Wrexham and Solihull Moors all forced replays in their respective matches against league opposition.
FA Cup third round draw: Maurizio Sarri will want to avoid any potential banana skins (Image: GETTY)
When is the FA Cup third round draw?
Monday 3rd December.
What time is the FA Cup third round draw?
The draw will be broadcast live on BBC One from 7:30pm at Stamford Bridge.
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FA Cup third round: Barnet are in the hat (Image: GETTY)
What are the ball numbers for the FA Cup third round draw?