Lille and Lazio are among the teams showing interest, while some Premier League clubs, including Manchester City, Nottingham Forest, Aston Villa, Tottenham, and Manchester United, are also keen.
Bardghji's representatives have mentioned that he prefers a move to Tottenham, but the club has not yet made contact with him since initial discussions earlier this year.
Bardghji's contract with FC Copenhagen is set to expire in 2025, which means he may be allowed to leave the club for around €10 million in the coming months.