Bardghji, 19, was not seen this season after he sustained a knee injury last year in May. However, he has now returned to the training at FCK last week.
Mundo Deportivo says that no fewer than 13 clubs in large European competitions show interest in the Swede.
Spanish giants Atlético Madrid and Barcelona have Bardghji on their radar. The first would have made a signature attempt in January.
In the Premier League there is Manchester City, Manchester United, Chelsea, Aston Villa, Brighton and Newcastle United.
In the Bundesliga it is the Giants Bayern Munich and the ruling champion Bayer Leverkusen.
The French Olympique Marseille and Italian clubs Atalanta and Juventus also look at the 19-year-old.
Chelsea is currently in the best position in the hunt for Swede, according to Mundo Deportivo.
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