In 1985, he joined Swedish side Trelleborgs FF, making just four league appearances, scoring one goal, before moving back to England to play for Swindon Town later that same year.
He was re-signed by the Seasiders initially on loan, in December 1990, by the departing Graham Carr, who was immediately replaced by his assistant, Billy Ayre.
A month later, on 5 January 1991, shortly before kick-off in an FA Cup match against Tottenham Hotspur, new Seasiders manager Billy Ayre agreed to pay Hull £50,000 for Bamber.
In the first final, against Torquay United, Bamber put his spot-kick wide of Gareth Howells' left-hand post, handing promotion to the Tangerines' south-coast opponents.
Bamber, who played despite needing an operation on his knee (preserving his record of being an ever-present throughout the season), scored Blackpool's normal-time goal.
Bamber was inducted into the Hall of Fame at Bloomfield Road, when it was officially opened by former Blackpool player Jimmy Armfield in April 2006.