  We analyze polar actions on Hermitian and quaternion-K\"ahler symmetric
spaces of compact type. For complex integrable polar actions on Hermitian
symmetric spaces of compact type we prove a reduction theorem and several
corollaries concerning the geometry of these actions. The results are
independent of the classification of polar actions on Hermitian symmetric
spaces. In the second part we prove that polar actions on Wolf spaces are
quaternion-coisotropic and that isometric actions on these spaces admit an
orbit of special type, analogous to the existence of a complex orbit for an
isometric action on a compact homogeneous simply-connected K\"ahler manifold.
