The Catalan club confirmed the arrival of Anthony Gordon from Newcastle at the end of May, and Karim Adeyemi's move from Borussia Dortmund appears to be following close behind, leaving little room for Bardghji, 20, to secure regular minutes next season.
Sky Sport Germany reported a few days ago that both Bardghji and Ferran Torres could leave Barcelona this summer, and interest in the Swede has since accelerated sharply.
England represents the biggest source of interest, with five clubs credited with tracking the winger: Aston Villa, Sunderland, Brighton, Fulham and Leeds United. Ajax and Porto have also made contact from the Netherlands and Portugal respectively, while Marseille have registered interest from France. A handful of Spanish clubs are said to be on Bardghji's list of admirers too, though which ones remains unclear.
Bardghji's contract at Camp Nou runs until the summer of 2029, giving Barcelona a strong hand in any negotiations even as suitors line up. He managed one goal and one assist in 21 La Liga appearances last season, a modest return but one that came largely in a squad already stacked with attacking talent.
With Adeyemi's arrival set to compound that competition further, a temporary or permanent departure now looks increasingly likely as Barcelona weigh up how to balance a forward line that already includes Lamine Yamal, Raphinha and the club's other summer arrivals.
Barcelona signed Bardghji from FC Copenhagen in the summer of 2025 for a modest fee, and while he has shown flashes of the talent that persuaded the club to move for him, breaking into a settled attacking line-up alongside Yamal has proven difficult.
The winger reported for pre-season medicals earlier this week and struck a calm tone when asked about his situation, telling Mundo Deportivo simply that "everything's fine."
Whether that composure survives what looks set to be a decisive few weeks for his Barcelona future remains to be seen, with the club reportedly open to either a loan or permanent sale depending on which route best suits both parties.