Crystal Palace, who are in the semi-finals for the first time in 21 years, have been drawn against Watford, while Everton were pitted against the winner of the replay between Manchester United and West Ham.
Palace secured their spot in the last four with a 2-0 win over Reading, while Everton, who last won the competition in 1995, knocked out reigning EPL champions Chelsea by the same scoreline.
Watford secured their passage to the semi-finals by ousting holders Arsenal 2-1 on Sunday, while United could only draw with West Ham, and will have to face a replay at Upton Park to finalise the remaining semi-final spot.
The semi-finals will be played at Wembley on the weekend of April 23 and 24.
Crystal Palace vs Watford