Bellamy was assistant to Vincent Kompany at Burnley between 2022 and 2024 and had a brief spell as caretaker boss.

The Lancashire club approached the FAW with a view to appointing Bellamy as successor to Scott Parker, who was sacked in April.

The breakdown is understood to not be related to compensation for the FAW, while negotiations for Bellamy's backroom staff to join him at Turf Moor were thought to be a point of contention.

Former Newcastle, Liverpool, Manchester City and West Ham forward Bellamy, who was appointed Wales boss in 2024, has a contract that runs until 2028.

He has previously spoken of his ambition to lead Wales at Euro 2028, being held in England, Scotland, Wales and the Republic of Ireland.

But Roberts believes Bellamy's links to the Burnley vacancy could impact on his relationship with the Wales squad and supporters.

"The players will know that if he'd had the chance he would have left and gone to Burnley," Roberts told S4C's Newyddion.

"That after saying this was the best job in the world and how much he was looking forward to leading Wales into the next Euros.

"The next few days are going to be quite interesting, I would imagine."