Abstract: The invention relates to polymeric compositions containing modified polyvinyl alcohols embodied in the form of the aqueous dispersion thereof or water-redispersible powders based on homo or mixed polymerisates of one or several monomers of a group comprising linear or branched alkylcarboxylic acid vinyl esters containing from 1 to 15 C atoms, methacrylic acid esters and alcohol acrylic acid esters containing from 1 to 15 C atoms, vinyl aromatics, olefins, dienes and vinyl halogenides. The inventive compositions are characterised in that the modified polyvinyl alcohols contained therein exhibit a latent carboxylic acid function and/or comprise phosphorus-containing comonomer units.