Polarization dependence of sharp intraconfigurational 4f(7) transitions of Eu2+ in KMgF3 have been studied by means of two-photon excitation spectroscopy. A new puzzle appears connected with the site-symmetry distortion at the Eu2+ ions and the weakness of third-order spin-orbit corrections, suggesting a mechanism for intraconfigurational interaction independent from crystal-field strength and from the site symmetry on the rare-earth ion. Intensity and polarization dependencies of the S-8(7/2)-->P-6(7/2), P-6(5/2), D-6(9/2) transitions have been satisfactorily interpreted in terms of second-order perturbation theory.