Edwards together with O'Neil both have past connections with the club
Rob Edwards and O'Neil represent the early names under consideration to replace the former manager as head coach of Wolverhampton Wanderers.
The previous coach was dismissed on the weekend after the team's ten-game without a victory beginning to the top-flight campaign.
Furthermore both candidates - each of whom have historic associations to the team - are part of the options to be evaluated by the club ownership.
Edwards is presently at Middlesbrough, which would create a possible obstacle to his appointment at Molineux.
Nevertheless the ex- Luton Town head coach - who played over a century of appearances for the club during his time as a player - is considered a leading contender for the position.
The mid-career manager is said to have support from the Wolves board as they start the process of appointing a new manager.
O'Neil is additionally appearing as a unexpected contender, although he would be a surprising choice given he was sacked by the club in the previous winter.
The former West Ham United player is out of work meaning Wolves would not be required to pay any compensation.
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