Carabao Cup holders Liverpool will begin the defence of their crown at home to West Ham in the third round of the competition.
The game at Anfield is one of three all-Premier League encounters, with Everton facing Southampton at Goodison Park and Brighton hosting Wolves at Amex Stadium.
League Two side Barrow’s reward for reaching the third round for the first time since 1967-68 is a trip to beaten 2024 finalists Chelsea, while AFC Wimbledon – who defeated Premier League Ipswich on penalties in the second round – will host Newcastle.
Arsenal face Bolton Wanderers at Emirates Stadium, with Manchester United welcoming Barnsley to Old Trafford.
Reigning Premier League champions Manchester City will take on Championship Watford at Etihad Stadium.
Ties will take place in the weeks commencing 16 and 23 September, with Champions League and Europa League fixtures also scheduled during this period.