The Shields Gazette reports that Sunderland have offered the teenager a contract, in a bid to head off interest from rivals.
Reports claim that Liverpool, Tottenham, Ajax and Roma are keeping tabs on the highly-rated youngster.
The Halmstad striker scored a hatr-trick for Sweden against Argentina in last month’s under-17 World Cup in Abu Dhabi.
Berisha finished the tournament as top scorer with seven goals.
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The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.
Five English clubs will compete in the last sixteen of the Champions League for the first time ever as Liverpool, Manchester United, Manchester City, Chelsea and Tottenham face some difficult away matches.