Liverpool will host Tottenham in the third round of the Carabao Cup, while Manchester United have been paired with Brighton and holders Manchester City will face Norwich.
The nine Premier League clubs competing in Europe this season enter the competition at this stage, creating several all-top-flight ties in the draw.
Arsenal will travel to Ipswich, Aston Villa visit Coventry and Bournemouth host Lincoln. Sunderland have been drawn at home to Hull, while Crystal Palace will entertain Middlesbrough.
The remaining all-Premier League fixtures are Everton against Wolves and Millwall against Newcastle. Fleetwood, the only fourth-tier team left in the competition, will welcome Sheffield United.
Leeds have been drawn against either Chelsea or Luton. Chelsea must first overcome Luton in their second-round tie at Stamford Bridge on Thursday, with kick-off scheduled for 19:30 BST.
The other unresolved tie involves Fulham and AFC Wimbledon. The winner of that match, which takes place on Thursday at 20:00 BST, will travel to West Ham in the third round.
The nine Premier League clubs entering at this point are Arsenal, Aston Villa, Bournemouth, Brighton, Crystal Palace, Liverpool, Manchester City, Manchester United and Sunderland.
Their involvement in European competition means the third-round fixtures will be spread across the weeks beginning Monday, 7 September and Monday, 14 September. The scheduling is intended to prevent clashes with the opening rounds of the Champions League and Europa League.
Liverpool’s meeting with Tottenham is one of the most notable ties in the draw, while Manchester United’s home match against Brighton also brings together two Premier League sides. Manchester City, who won the previous edition of the competition, will begin their defence at home against Norwich.
There are also several ties involving clubs from different levels of the English football pyramid. Reading will face Brentford, Peterborough will play Barnsley and Leyton Orient will host Bradford.
The complete third-round draw is:
– Crystal Palace v Middlesbrough
– Manchester United v Brighton
– Manchester City v Norwich
– Sunderland v Hull
– Ipswich v Arsenal
– Coventry v Aston Villa
– Bournemouth v Lincoln
– Liverpool v Tottenham
– Chelsea or Luton v Leeds
– Millwall v Newcastle
– Fleetwood v Sheffield United
– Everton v Wolves
– Leyton Orient v Bradford
– Reading v Brentford
– Peterborough v Barnsley
– West Ham v Fulham or AFC Wimbledon