The draw for the last four also hands Wigan, Blackburn or Millwall a chance to qualify for next season's Europa League, as well as a chance of making the Wembley finalManchester City will face either Chelsea or Manchester United in the FA Cup semi-final at Wembley.
Roberto Mancini's side confirmed their place in the last four with a commanding 5-0 thrashing of Barnsley on Saturday but will have to await the outcome of a replay after Chelsea came from 2-0 down to draw 2-2 at Old Trafford on Sunday evening.
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The other semi-final tie will see either Millwall or Blackburn Rovers meet Wigan. The Premier League side surprisingly defeated Everton 3-0 at Goodison Park, while the Championship outfits also face a replay after a 0-0 draw on Sunday.
Should one of the eventual finalists qualify for next season's Champions League, it will mean one of the Latics, Millwall or Blackburn would qualify for the Europa League next season in place of the sixth-place side in the top flight.
The ties will take place on the weekend of April 13 and 14.