Everton are to host Chelsea in the quarter-finals of the FA Cup, while holders Arsenal will welcome Watford if they overcome Hull City in their fifth-round replay.
Manchester United, who play League One side Shrewsbury Town on Monday night, will host West Ham United at Old Trafford if they make it through safely.
The only remaining Championship side in the competition, Brian McDermott's Reading, are rewarded for their victory over West Bromwich Albion with a home tie against Crystal Palace.
Two big sides exited the competition earlier on Sunday, as Palace dumped out Tottenham Hotspur and Chelsea demolished Manchester City.
FA Cup quarter-final draw in full:
Reading vs. Crystal Palace
Everton vs. Chelsea
Arsenal or Hull vs. Watford
Shrewsbury or Manchester United vs. West Ham
