Last season the Whites famously beat Manchester United in the oldest cup competition in the world in the third round at Old Trafford when Jermaine Beckford scored the only goal in a 1-0 win.
Manchester United will play Liverpool in the only all-Barclays Premier League tie of the last-64 draw, which was made at Wembley.
Chelsea were also given a home tie against Ipswich.
Third Round draw in full:
Burnley v Port Vale
Coventry City v Crystal Palace
Bristol City v Sheffield Wednesday
Fulham v Peterborough
Doncaster Rovers v Wolves
Brighton or FC United v Portsmouth
Huddersfield v Dover Athletic
Crawley Town or Swindon v Derby County
West Ham v Barnsley
Reading v West Bromwich Albion
Arsenal v Leeds United
Sheffield United v Aston Villa
Leicester City v Manchester City
Bolton Wanderers v York City
Blackburn Rovers v QPR
Swansea v Colchester United
Wycombe v Hereford or Lincoln
Stevenage v Newcastle United
Burton Albion v Middlesbrough
Millwall v Birmingham City
Southampton v Blackpool
Watford v Hartlepool or Yeovil
Chelsea v Ipswich Town
Sunderland v Notts County or Bournemouth
Scunthorpe v Everton
Manchester United v Liverpool
Hull City v Wigan Athletic
Stoke City v Cardiff City
Tottenham Hotspur v Charlton or Luton
Preston v Nottingham Forest
Norwich City v Droylsden or Leyton Orient
Torquay United v Carlisle United