The present invention relates to preparation of heterogeneous mixtures of (carboxylated) vinyl ester/ethylene dispersions, such as vinyl acetate/ethylene (VAE) dispersions with polyamideamine-epichlorohydrin (PAE) wet strength resins having a reduced amount of halogenated organic compounds, such as less than 1500 ppm. The dispersion offers extremely low free and bound formaldehyde levels combined with wet tensile strength for use in non-woven textile and paper applications.