Ryan Giggs and Craig Bellamy are reportedly aiming to lead their country.
According to the Guardian's Stuart James, the former Welsh international pair are among four who were interviewed for the job of national team manager. Osion Roberts and Mark Bowen are apparently also in the running to succeed Chris Coleman, while the Football Association of Wales is close to making an appointment and expected to announce Coleman's successor in the coming days.
Giggs is allegedly the frontrunner.
The interviews were reportedly conducted on Thursday and were overseen by Jonathan Ford, the FAW's chief executive officer who apologised in December after stating the search should preclude an English applicant.
Giggs left Manchester United in 2016 to pursue his desire of being a manager. He was named as a player-coach in 2013 after taking his coaching badges and took temporary charge of the Red Devils following David Moyes' departure. He told Sky Sports of his interest in becoming Wales' manager, saying: "I played for Wales, I've said that I want to go back into coaching and that is obviously one of the top jobs. I played for United, I played for Wales, those are the two jobs."
Bellamy, who played alongside Giggs while representing Wales, also spoke of his interest, declaring he will be keen on the job for the rest of his life.
Roberts is Wales' assistant manager and the FAW's technical director, while Bowen was Stoke City's assistant manager under Mark Hughes.
Coleman resigned as Wales' manager after the Dragons failed to qualify for the 2018 World Cup, and was named as Sunderland's manager two days later.