Michael Forssell, who had bagged a goal in each of the prevoious two games of the tour, scored twice in Bavaria.
Fellow striker Camerone Jerome also scored twice with Blues' other goal coming from Garry McSheffrey.
Blues: Maik Taylor (Doyle, 46), Johnson, Larsson (Kilkenny, 62), Martin Taylor, Jaidi, Nafti (Danns, 62), Muamba, Kapo (Aluko, 77), Forssell (O'Connor 46), Jerome (Vine, 62), McSheffrey.
Blues next pre-season fixture is against Walsall at The Bescot Stadium this coming Saturday - 28th July.