Born in
Kolding, scoring his first goal for the club on 1 December of that year, in a 3–1 league defeat to
Chelsea at
Stamford Bridge. Mølby began to establish himself as a regular and successful penalty taker, starting with two penalties converted at home to
Tottenham Hotspur in the league on 28 September 1985. Other fine performances included a brace in open play in a 3–0 home win over
Aston Villa in the league on 7 December, and two goals (one a penalty) as they eliminated
Manchester United from the
Football League Cup in a 2–1 win at
Anfield in late November. Ahead of the
1987–88 season, Mølby broke his leg in pre-season training. He was then arrested for
drink driving in February 1988. On his release, he struggled with further injuries and his general fitness. Early in the 1995–96 season, manager
Roy Evans loaned Mølby out to Barnsley and Norwich (where he scored once in the League Cup against Birmingham City). In February 1996, Mølby left Liverpool to take over as player-manager of
Swansea City. Just before taking the job at the
Vetch Field,
Ron Atkinson unsuccessfully tried to sign him for
Coventry City. While at Liverpool, he scored a total of 62 goals, 42 of which were from penalties. During Mølby's time with Liverpool, he only failed to score three times from the penalty spot (penalties against Sheffield Wednesday and QPR in 1985–86 and Chelsea in 1989–90 were saved). His record as a penalty-taker in the top flight is thought to be second only to
Matthew Le Tissier. Mølby held the club record of most penalties scored by a Liverpool player until
Steven Gerrard surpassed his record in August 2014. ==Managerial career==