Sunderland are on the lookout for a new permanent manager.
All three candidates have either managed or played for Sunderland before.
Sunderland are still looking for a replacement for Simon Grayson, and have only just started interviewing candidates.
Koeman's future is in doubt after Everton lost to Arsenal on Sunday afternoon.
Everton were beaten 5-2 by Arsenal in their most recent Premier League fixture.
Everton's search for a striker should have led to a move for Fernando Llorente, according to Peter Reid.
Everton are currently sat in 16th place in the Premier League table.
Everton hero Peter Reid has offered his view on new signing Gylfi Sigurdsson.
Former Sunderland star Don Hutchison has offered a 'simple' solution to Sunderland's management situation.
Leeds United have parted company with many managers over the last few years, but which were sacked too early?