Rummenigge says they are in contact with the Blues over a move for the 26-year-old.
“We are still on the look-out for a right-sided defender,” Rummenigge told Sport Bild.
“We therefore continue to have a serious contact with Chelsea.
“We are convinced about Bosingwa and that he would fit in really well at FC Bayern.
“I don’t think the book has been closed on this issue yet.”