Billy was the subject of two record transfer fees during his career. As well as receiving 30 caps for Scotland, Steel made four appearances with the Scottish League, was a Scottish Cup finalist in 1952, and was a Scottish League Cup winner in 1952 and 1953. He scored a memorable goal for Great Britain against the Rest of Europe in 1947. He was inducted into Scottish Football Hall of Fame in 2006.
Steel joined Dundee from Derby, for a Scottish record transfer fee of £22,500. He helped the club to win the Scottish League Cup in 1951-52 and 1952-53. He was also a finalist in the 1951-52 Scottish Cup. He retired as a player in 1954.
In May 2009 Steel was inducted into Dundee F.C.'s Hall of Fame.
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