Premier League leaders Manchester City will take a trip to Everton and Manchester United travel to Leicester City following the draw for the FA Cup quarter-finals following the draw.
Everton, who beat Tottenham 5-4 in a thrilling match on Wednesday, will host Pep Guardiola's City, who set a top- flight record with a 15th straight victory in all competitions when they beat Swansea City 3-1.
Manchester United will take on fellow league title contenders Leicester. United, who last won the FA Cup in 2016, are bidding to win the trophy for the 13th time.
Second tier Bournemouth will host fellow south coast club Southampton, who beat Wolverhampton Wanderers 2-0 on Thursday to make the last eight.
Chelsea, after getting past Barnsley, will be at home to the Premier League's bottom side Sheffield United.
Ties are scheduled to take place over the weekend of 20/21 March.