The present invention relates to an acidic, aqueous, particulate composition having a high stability with respect to agglomeration for autophoretic deposition of organic-inorganic hybrid layers on metal surfaces, comprising, in addition to iron(III) ions, fluoride ions and at least one dispersed organic binder (B), pigment-binder particles comprising a pigment portion and a binder portion (B), such that the binder (B) comprises a polymer of at least one monomer having acid groups and at least one polymerizable double bond. Likewise, the invention relates to the use of an aqueous dispersion comprising pigment-binder particles comprising a pigment portion and a binder portion (B) for the production of a self-depositing composition as well as a method for autophoretic deposition on metal surfaces.