[3] He was gradually brought into the first team over the next 18 months by Joe Fagan, before being given regular games in the left back slot by new player-manager Kenny Dalglish as a replacement for Alan Kennedy in the 1985–86 season.

He scored his first goal for the club 5 months later on 10 April 1985 in the 4–0 European Cup Semi-final first leg victory over Greek side Panathinaikos at Anfield.

[4] Recovering from the break, Beglin sustained a knee cartilage injury playing for Liverpool's reserves in October 1988 which effectively finished his time at Anfield.

In June 1989, he joined Leeds United, where he helped the club to become Second Division champions and spent periods on loan with both Plymouth Argyle and Blackburn Rovers before a recurrence of his knee injury forced him into an early retirement in 1991, when still only 27.

On 4 May 2021, during a live broadcast of a UEFA Champions League semi-final, Beglin attributed Paris Saint-Germain's Argentine midfielder Ángel Di María's red card to his "Latino temperament", for which he later apologized.