The 16 year-old defender has made the senior Bayern bench several times this season.
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The Mirror says his father was in London on Friday for talks with Manchester City and Chelsea about a move to England.
A Germany U17 international, Kiala is rated alongside superkid Lennart Karl as the best two prospects coming through at Bayern.
After his father's meeting with Chelsea and City, the family are also weighing up signing with Jorge Mendes' Gestifute agency after a summit in Munich last week.