The position of the South Korea defender in Bayern is in Focus after the arrival of Jonathan Tah from Bayer Leverkusen last month.
TMW says that Chelsea is interested in Kim, who was excellent in Napoli's Scudetto Triumph two years ago.
A swap deal will be proposed, causing Chelsea to offer cash plus Renato Veiga in exchange for Kim.
Veiga spent the second half of last season with Juve.