Liverpool have been drawn at home to Merseyside rivals Everton in the FA Cup third round, while holders Manchester City will start the defence of their title at home to third-tier Port Vale.
The Toffees face Jurgen Klopp's side on Wednesday in the Premier League and will make the short trip to Anfield for a second time this season during the first week of January.
Pep Guardiola's City thumped Watford 6-0 in last season's final and have been given a favourable draw to kick-start their 2019-20 campaign, with John Askey's League Two side pitching up at the Etihad Stadium.
Manchester United face a difficult away tie against Premier League rivals Wolves, who knocked them out of the competition last season's quarter-finals, while Arsenal welcome Championship leaders Leeds United to the Emirates Stadium.
New Tottenham boss Jose Mourinho takes his side to Middlesbrough, managed by former Spurs defender Jonathan Woodgate, and Chelsea host Nottingham Forest.
Ties will take place between January 3 and 6.
FA Cup third round – draw in full:
Leicester City v Wigan Athletic
QPR v Swansea City
Fulham v Aston Villa
Chelsea v Nottingham Forest
Wolves v Manchester United
Charlton Athletic v West Brom
Rochdale or Boston United v Newcastle United
Cardiff City v Forest Green Rovers or Carlisle United
Oxford United v Exeter City or Hartlepool United
Sheffield United v AFC Fylde
Southampton v Huddersfield Town
Liverpool v Everton
Bristol City v Shrewsbury Town
Bournemouth v Luton Town
Brighton and Hove Albion v Sheffield Wednesday
Bristol Rovers or Plymouth Argyle v Coventry City or Ipswich Town
Eastleigh or Crewe Alexandra v Barnsley
Manchester City v Port Vale
Middlesbrough v Tottenham
Reading v Blackpool
Watford v Tranmere Rovers
Preston North End v Norwich City
Millwall v Newport County
Crystal Palace v Derby County
Solihull Moors or Rotherham United v Hull City
Brentford v Stoke City
Fleetwood Town v Portsmouth
Arsenal v Leeds United
Gillingham v West Ham
Burton Albion v Northampton Town
Burnley v Peterborough United
Birmingham City v Blackburn Rovers