He spent a couple of years at PSV Eindhoven before returning to Göteborg in 1987.He moved abroad again in 1989 to Fiorentina in Italy, playing under his former boss at Göteborg, Sven Göran-Eriksson.By the time of his arrival on Merseyside, Hysen had been captain of the Swedish national team for many years and had been voted one of the 10 best players in Europe when France Football announced their Golden Ball winner in 1987.Hysen was "Man of the Match" on his Liverpool debut in the 1989 Charity shield against Arsenal at Wembley.He earned rave reviews for his displays against England in two 1990 World Cup qualification matches that inspired great interest in him from English clubs.Liverpool stole him right from under the nose of Alex Ferguson at Manchester United who thought they had his transfer signed, sealed... Ferguson and United Chairman, Martin Edwards, flew out to Florence to conclude the transfer that was stalling but were then told by Hysén's agent that his client had already signed for Liverpool.
Hysén then moved to Fiorentina and earned continental plaudits with his displays against England in two World Cup qualification matches during the campaign for the forthcoming 1990 tournament.
As a result, English clubs became interested in him.
He became Sweden's Footballer of the Year again in 1988, with Swedish rules not barring their countrymen from receiving the award even if playing in a different nation.
He had an excellent first season and was an important member of the club's championship-winning squad.
However, his cool and calculated performances seemed to evaporate the following season but even so he made a further 40 appearances.