Edwards and O'Neil both have past connections with the club
Rob Edwards along with O'Neil represent the early names under consideration to succeed Vitor Pereira as manager of Wolverhampton Wanderers.
Pereira was dismissed on the weekend following the team's ten-game winless beginning to the top-flight campaign.
And both candidates - both of who have historic links to the team - are among the names to be evaluated by the Wolves ownership.
The manager is presently at Middlesbrough, which would create a potential hurdle to his hiring at Molineux.
However the former Luton head coach - who made more than 100 of games for the club during his playing career - is considered a leading candidate for the vacancy.
The 42-year-old is reportedly enjoys backing from the club directors as they begin the process of hiring a fresh manager.
Gary O'Neil is additionally emerging as a unexpected contender, although he would be a shock choice considering he was released by Wolves in December last year.
The ex- West Ham player is out of work meaning the club would not be required to pay any compensation.