Manchester United scouted the teen in midweek, while IFK chiefs have confirmed the interest of Liverpool.
Fotbollskanalen says Brighton and Red Bull Salzburg have made contact with the player's representatives.
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However, Ola Larsson, IFK's technical director, believes that Blvitt has not yet started any talks with other clubs.
"We are not in dialogue with any club, but clubs are in dialogue with Malick's representatives," he says.
Larsson also says that there is a lot of interest in the Malian midfield talent - and that he has heard of interest from Brighton and Salzburg.
"Yes, but the interest in Malick is enormous, I've never seen anything like it," he added.