Manchester City will take on FA Cup holders Wigan as the quarter-final draw threw up a re-match of last year's final.
Former City favourite Uwe Rosler will take his Latics side to the Etihad Stadium where Manuel Pellegrini's side saw off Chelsea 2-0 on Saturday, with Wigan hoping to claim another top-flight scalp after seeing off Cardiff in the fifth round.
The draw also set up the possibility of two local derbies.
If Liverpool can beat Arsenal in Sunday's evening fixture they will be at home to Everton in the next round, while either Sheffield United or Nottingham Forest will face the winners of the rearranged fixture between Sheffield Wednesday and Charlton.
Gus Poyet will wait to see if he makes a return to his old stomping ground after his Sunderland side were drawn away to the winners of Monday's match between his former side Brighton and Hull.
Wigan beat City 1-0 in last year's final thanks to a late header from Ben Watson in what proved Roberto Mancini's last match in charge of the Manchester club.
Although City fans will be keen for revenge, Rosler can be sure of a rapturous reception at the Etihad, having established himself as a cult figure at Maine Road during a spell that saw him score 64 goals in 176 appearances.
Although Wigan followed up their FA Cup success by suffering relegation, City have already beaten them once this season, a 5-0 Capital One Cup victory before Rosler took charge at the DW Stadium.
Everton away to Arsenal or Liverpool is the only guaranteed all-Premier League clash in a a draw which will see at least one Football League club reach a Wembley semi-final.
The Toffees saw off Swansea 3-1 at Goodison Park prior to the draw, but Roberto Martinez - the man who guided Wigan to their famous success last year - was slightly disappointed to be drawn away.
"That's the excitement of the cup," he told ITV about the potential Merseyside derby.
"Obviously when you reach the sixth round you're in a fantastic position to get a trip to Wembley and that's what makes it exciting. The draw has not been too kind in terms of playing away from home but we will embrace it and look forward to it."