Southern League Premier Division Central side Alvechurch have been handed a second-round date at Forest Green Rovers in the FA Cup.
The minnows pulled off one of the shocks of the weekend as they defeated League One outfit Cheltenham Town on away territory, and their reward is a date with another club at the third tier.
National League North side Buxton will travel to League One high-flyers Ipswich Town if the Tractor Boys overcome Bracknell Town on Monday night.
Chippenham Town, who play in the National League South and beat Lincoln City, will now make the trip to League One side Burton Albion.
Ebbsfleet United of the same division play host to Fleetwood Town, while National League outfit Wrexham have been provided with a tie against fellow non-league club Farnborough.
King's Lynn Town will go up against League Two team Stevenage, with Boreham Wood handed a trip to Bristol Rovers.
National League North side Curzon Ashton will play host to Grimsby Town if they can overcome Cambridge United in a replay, while Torquay United will travel to Newport County if they can beat Derby County in a replay at Pride Park.
Draw in full:
Curzon Ashton/Cambridge United vs. Grimsby Town
Wrexham vs. Farnborough
Accrington Stanley vs. Barnet/Chelmsford
Ebbsfleet United vs. Fleetwood Town
Bracknell Town/Ipswich Town vs. Buxton
Barnsley vs. Crewe Alexandra
Forest Green Rovers vs. Alvechurch
Portsmouth vs. MK Dons
Shrewsbury Town vs. Peterborough United/Salford City
Solihull Moors/Hartlepool United vs. Harrogate Town
King's Lynn Town vs. Stevenage
Charlton Athletic vs. Stockport County
Bristol Rovers vs. Boreham Wood
Dagenham & Redbridge vs. AFC Fylde/Gillingham
Woking/Oxford United vs. Exeter City
Sheffield Wednesday vs. Mansfield Town
Weymouth/AFC Wimbledon vs. Chesterfield
Burton Albion vs. Chippenham Town
Walsall vs. Carlisle United
Newport County vs. Torquay United/Derby County