  The interplay of the electron exchange interaction and spin-orbit coupling
results in spontaneous supercurrents near magnetic insulator islands, which are
placed on the top of a two-dimensional (2D) superconductor, and whose
magnetization is parallel to 2D electron gas. It is shown that in contrast to
the well studied situation, where such an effect involves only topologically
trivial spatial variations of the superconducting order parameter, one should
take into account supercurrent vortices. The latter are spontaneously generated
around the island's boundary of an arbitrary shape and result in screening of
the Zeeman field. This problem has been considered for electrons subject to a
strong Rashba spin-orbit coupling, including Dirac systems as well. In the
latter case vortices can carry Majorana zero modes.
