Sutton United will host Notts County in the FA Cup second round, one of eight definite ties between non-league and Football League clubs.
AFC Totton, who beat Bradford Park Avenue 8-1 on Saturday, host Bristol Rovers while Luton have a home tie against Cheltenham.
Fleetwood will take on League One side Yeovil and Redbridge, the lowest ranked team left in the Cup, go to Crawley.
Chelmsford host Macclesfield and Brentford face Cambridge.
Stourbridge, who are in the Southern Premier Division along with Totton, will face League One side Stevenage after winning their home replay against Plymouth.
Blue Square Bet South side Salisbury host Grimsby, Dagenham & Redbridge, who beat Bath in their first-round replay, face Walsall, while Gateshead host Tamworth.
Aldershot face a trip to Hillsborough to face Sheffield Wednesday.
League One leaders Charlton host promotion rivals Carlisle United after beating Blue Square Bet North side FC Halifax 4-0 on Sunday.
Ties will be played on the weekend of 3 and 4 December.
FULL FA CUP SECOND ROUND DRAW
Salisbury v Grimsby
Stourbridge v Stevenage
Sheffield United v Torquay United
Colchester United v Swindon Town
Chelmsford City v Macclesfield Town
Leyton Orient v Gillingham
Crawley Town v Redbridge
Luton Town v Cheltenham Town
Fleetwood Town v Yeovil Town
Brentford v Wrexham
Bradford City v AFC Wimbledon
Shrewsbury Town v Rotherham United
Dagenham & Redbridge v Walsall
Barnet v Milton Keynes Dons
Gateshead v Tamworth
Sheffield Wednesday v Aldershot Town
Sutton United v Notts County
Southend United v Oldham Athletic
AFC Totton v Bristol Rovers
Charlton Athletic v Carlisle United