[en] Eutectic samples of Sr₂RuO₄-Ru possess many μm-sized Ru-metal inclusions. Based on a Ginzburg-Landau formulation we analyze the interplay of the chiral p-wave state of Sr₂RuO₄ (T_c = 1.5 K) and the s-wave state of Ru metal (T_c,Ru = 0.5 K) for an inclusion of cylindrical geometry. As a consequence of the mismatch of the order parameter phase, the occurrence of a spontaneous flux distribution appears for T < T_c,Ru which evolves into a 'Josephson vortex' on the Sr₂RuO₄-Ru interface. At a sufficiently low temperature a depinning transition can occur whereby the vortex moves to the center of the cylinder. (author)