Fussball News reports that Tottenham Hotspur, Aston Villa, Juventus and AC Milan are all keeping tabs on the 29-year-old. It comes shortly after a German report said that Bayern want to extend his contract, having failed to sell him during the summer.
The report says that Bayern are in no hurry to sell, and would only start talks if a suitor made an offer of between €25 million and €30 million, with bonuses possibly added. No concrete negotiations are under way and neither Bayern nor the player's side has received an official offer, it adds.
The interested clubs are watching how Kim's role develops under Vincent Kompany, and it puts his market value at around €20 million.
The key date could be December. Bayern's management are planning a meeting with the player to discuss his role and long-term prospects before the winter window opens, and that meeting is likely to decide whether a transfer happens. For now, everything points towards Bayern Munich continuing to plan with him, and his contract runs until 2028.
Kim has made a solid start to the season and looks comfortable as the third centre-back in the squad. He has played 399 minutes across five games, and he brings physical strength, heading ability, pace and qualities in build-up play. He also knows both the Bundesliga and Serie A.
The English interest is said to be strongest, with Tottenham and Aston Villa seeing him as a possible defensive reinforcement because of his physical presence and experience. That interest has a clear background. Villa sold Ezri Konsa to Arsenal this summer and Tottenham sold Cristian Romero, and both clubs have been worried about the goals they are conceding. Villa beat Spurs 3-2 on Saturday, their first league win of the season.
Kim joined Bayern from Napoli in July 2023, after playing for Beijing Guoan and Fenerbahçe. The Spanish site adds that he has made 121 appearances for the Bavarian club, with five goals and three assists, and that he has won 82 caps for South Korea, scoring four goals.