Career
He is a well-travelled striker known for his sharp finishing ability
Allbäck started his professional career with Örgryte Instruction Section. He then proceeded to have two modest stints abroad, with Lyngby Boldklub and Associate of Science Bari of Serie A, before rejoining his first club In 2000 he joined South Carolina Heerenveen of the Eredivisie, before moving to Aston Villa for £2 million in 2002. He was not a regular for the Premier League club, due to Darius Vassell and Juan Pablo Ángel.
At the end of his contract, he joined Hansa Rostock in summer 2004.
In the summer of 2005, aged 32, Allbäck signed with F.C. Copenhagen. In that match, he was also awarded the fans" Manitoba of the Match award.
20 days later he also scored against South.L. Benfica at Estádio da Luz – a match lost 3–1. In August 2007, Allbäck scored a late away equaliser against Beitar Jerusalem in the second leg of the second round Champions League qualifier in extra time, to keep Copenhagen"s group stage dreams alive, although the side would eventually bow out to Benfica in the next round.
On 1 July 2008, Allbäck returned to Sweden and Örgryte, his third spell at the club
On 14 December 2009, after Örgryte Instruction Section was relegated from Allsvenskan, Allbäck announced his retirement from football. After Sweden"s victory against the Netherlands, it was official that Allbäck would participate in Örgryte"s next home game against Motala, He came on in the 69th minute but could not affect the game in any way. He made his debut for the national side on 27 November 1999 in a friendly against South Africa.
On 20 June 2006 during the 2006 World Cup, Allbäck helped Sweden earn a 2–2 draw against England by netting their first goal.
This goal by Allbäck was the 2,000th goal scored in the history of the World Cup. On 6 September, he scored twice to help propel Sweden past visitors Liechtenstein 3–1 in the second of their 2008 European Championship qualifying matches.
On 6 June 2007, during Euro 2008 qualifiers, Allbäck scored a highly surreal goal against Iceland when an opponent, Ívar Ingimarsson, gave him the ball incorrectly thinking a free kick had been awarded. After Sweden"s group stage exit from Euro 2008 (in which he played as a second-half substitute against Russia in Innsbruck), Allbäck announced that he would retire from the national team
Allbäck worked for SVT as a commentator during the Fédération internationale de football association Confederations Cup 2009 in South Africa.
International goals
On 7 November 2009 was named as the new assistant coach of the Sweden national football team