Everton will host Premier League leaders Manchester City and Leicester City face Manchester United in the quarter-finals of the FA Cup.
The Toffees beat Tottenham 5-4 in a classic tie to reach the last eight.
The match at the King Power Stadium sees the top-flight's third-placed side host the team in second.
In the other ties, Championship side Bournemouth play Southampton in a south coast derby while Chelsea will host Sheffield United.
On Thursday, Saints booked their place in the quarter-finals with an impressive 2-0 win at Wolves, while Chelsea edged out Championship side Barnsley 1-0.
The ties are scheduled to take place over the weekend of 20 and 21 March.
Full quarter-final draw:
Everton v Manchester City
Bournemouth v Southampton
Leicester City v Manchester United
Chelsea v Sheffield United