Former Stoke boss Gudjon Thordarson has thrown his hat into the ring for the Albion job.
Thordarson has revealed to The Argus his interest in the post vacated by Peter Taylor at the end of April.
The ex-Icelandic international manager steered Stoke to promotion from the Second Division with the Seagulls via victory over Steve Coppell's Brentford in the play-off final.
He was sacked days later following disagreements during the season with the club's Icelandic owners.
Former Albion loan signing Steve Cotterill has replaced Thordarson at the Britannia Stadium and he has been linked with a Norwegian club, but his family have settled in England and he wants to stay in management here.
"I would be interested in the job," he said. "I think Brighton have a fair chance. They have done extremely well for the last two years and they are a footballing side, which is something you can build on.
"It's obviously going to be a tough task in the First Division, but you never know. Preston, Millwall and Burnley have all done well coming up from the Second Division in recent seasons.
"It seems to be harder getting out of the Second Division rather than staying in the First."
Thordarson took Stoke to the Division Two play-offs in his first two seasons in the Potteries before making it third time lucky.
"I can bring loads of things to Brighton," he said. "I am the first foreign manager to have success in the lower leagues in England.
"We were promoted in very difficult circumstances. I was forced to sell my best players (Graham Kavanagh and Peter Thorne) and couldn't spend the money we got for them.
"I've had experience of the English game for three years and I try to play football. I would love to take on a challenge in the First Division. I was ready to do that when I was sacked by Stoke."
Coppell, the early favourite, appears to have been ruled out by Albion. Chairman Dick Knight has not been in touch with him since a brief meeting in May.
Doubts surrounding the future of Albion youth team coach Dean Wilkins have been dispelled now that former Seagulls chief Micky Adams has confirmed Alan Cork will be his No. 2 once more at Leicester. Adams expressed an interest in Wilkins after Albion assistant Bob Booker turned down the chance to be reunited with him at Leicester and signed a new two-year contract.
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