Solihull Moors have the opportunity of a glamour tie at home to Arsenal should they dispose of Blackpool in a replay on December 11.
The sides drew 0-0 in the West Midlands on November 30. The other non league side who will face a giant are Woking FC who host Watford, 84 league places above them.
Other highlights in a generally unexciting draw include an all EPL south coast derby between Brighton and Bournemouth at Dean Court. Wolves v Liverpool is the only other all EPL tie as the big sides generally avoided each other.
Manchester City host Rotherham and neighbours United host Reading. Chelsea were also given a home draw against Nottingham Forest while Tottenham head towards Merseyisde to play either Tranmere or Southport.
The draw is also short on derbies, although Middlesbrough v Bradford is a Yorkshire derby of sorts, should the latter overcome Peterborough.
The biggest geographical note may be the number of Roses derbies, that is matches between sides from Yorkshire and Lancashire.
Other than Man City (L) v Rotherham (Y), there is Burnley (L) v Barnsley (Y) and Preston (L) v Doncaster (Y). Two other south Yorkshire sides, Sheffield Wednesday and Sheffield United drew home ties. Seven London sides are at home and nine EPL sides are at home to lower league opposition.
Whoever wins out of the all Welsh 2nd round tie between Wrexham and Newport will host Leicester in one of the draw’s other intriguing ties.
FA Cup third-round draw
Bolton v Walsall or Sunderland
Millwall v Hull
Gillingham v Cardiff
Brentford v Oxford
Sheffield Wednesday v Luton
Manchester United v Reading
Everton v Lincoln
Tranmere or Southport v Tottenham
Preston v Doncaster
Newcastle v Blackburn
Chelsea v Nottingham Forest
Crystal Palace v Grimsby
Derby v Southampton
Accrington Stanley v Ipswich
Bristol City v Huddersfield
Wrexham or Newport v Leicester
Fulham v Oldham
Shrewsbury v Stoke
Solihull Moors or Blackpool v Arsenal
Manchester City v Rotherham
Bournemouth v Brighton
West Ham v Birmingham
Woking v Watford
Burnley v Barnsley
QPR v Leeds
Sheffield United v Barnet
Norwich v Portsmouth
Fleetwood v Wimbledon
West Brom v Wigan
Middlesbrough v Peterborough or Bradford
Wolves v Liverpool
Aston Villa v Swansea