Stability of anisotropically phase-segregated Co9S8/PdSx nanoacorns, which we recently prepared, was improved by the addition of oleic acid or oleylamine as a stabilizer. Further investigations on the experimental conditions implied the formation of more complex PdSx/Co9S8/PdSx and Co9S8/PdSx/Co9S8 heterostructured nanoparticles.