They could be confirmed in the role by Nov. 9, the BBC cited FAI Chief Executive Officer John Delaney as saying.
Giovanni Trapattoni quit as manager in September after Ireland was eliminated from World Cup qualifying. O’Neill last managed Sunderland, which fired him in March, with Celtic and Aston Villa among his other clubs.
Former Manchester United and Republic of Ireland captain Keane previously managed Sunderland and Ipswich.
He left the Republic’s playing squad before the 2002 World Cup after a dispute with coach Mick McCarthy.
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