Manchester United will face old rival Leeds United in the third round of the Carling Cup.
Brighton, following their fine start to life in the Championship, were drawn at home to Liverpool at the Amex Stadium.
Holders Birmingham, entering the competition at this stage because of their involvement in the Europa League, begin the defence of the trophy they won against Arsenal at Wembley with a trip to big-spending FA Cup winners Manchester City at the Etihad Stadium.
There are four all-Premier League ties with Chelsea at home to west London rivals Fulham, Aston Villa at home to Bolton, Stoke taking on Tottenham and Everton welcoming West Brom.
Shrewsbury's reward for their round two defeat of Swansea is a trip to Arsenal, while Nottingham Forest will hope to upset Newcastle at the City Ground.
Rochdale, winners against QPR, visit either Aldershot or Carlisle.
In the other matches, to be played week commencing September 19, Cardiff play Leicester, Wolves face Millwall, Burnley take on MK Dons, Blackburn are at home to Leyton Orient or Bristol Rovers, Swindon or Southampton face Charlton or Preston and Crystal Palace or Wigan are at home to Middlesbrough.