Process for the preparation of a self-invertible inverse latex comprising an aqueous phase comprising: a. a crosslinked anionic polyelectrolyte consisting of: - at least one monomer unit resulting from at least one monomer chosen from the elements of the group consisting of acrylic acid, methacrylic acid, 2-carboxyethylacrylic acid, itaconic acid, maleic acid and 3-methyl-3-[(1-oxo-2-propenyl)amino]butanoic acid, the carboxylic function of said monomers being in free acid, partially salified or completely salified form; and - at least one monomer unit resulting from a polyethylenic crosslinking monomer chosen from methylenebis(acrylamide), ethylene glycol dimethacrylate, diethylene glycol diacrylate, ethylene glycol diacrylate, diallylurea, triallylamine, trimethylolpropane triacrylate, diallyloxyacetic acid or one of its salts, such as sodium diallyloxyacetate, or a mixture of these compounds; b. ethylenediaminedisuccinic acid in the trisodium salt form, said process comprising the following stages: a) preparation of the aqueous phase as defined above, b) preparation of an organic phase comprising at least one oil and an emulsifying surfactant (S 1) system of water-in-oil type, c) mixing the aqueous phase and the organic phase prepared in stages a) and b) and emulsifying so as to form an emulsion, d) inerting the emulsion with nitrogen, e) initiating the polymerization reaction by introduction, into the inerted emulsion, of a freeradical initiator, and f) introduction, into the reaction medium resulting from stage e), of an emulsifying surfactant (S 2) system of oil-in-water type at a temperature of between 30°C and 60°C. a. a crosslinked anionic polyelectrolyte consisting of: - at least one monomer unit resulting from at least one monomer chosen from the elements of the group consisting of acrylic acid, methacrylic acid, 2-carboxyethylacrylic acid, itaconic acid, maleic acid and 3-methyl-3-[(1-oxo-2-propenyl)amino]butanoic acid, the carboxylic function of said monomers being in free acid, partially salified or completely salified form; and - at least one monomer unit resulting from a polyethylenic crosslinking monomer chosen from methylenebis(acrylamide), ethylene glycol dimethacrylate, diethylene glycol diacrylate, ethylene glycol diacrylate, diallylurea, triallylamine, trimethylolpropane triacrylate, diallyloxyacetic acid or one of its salts, such as sodium diallyloxyacetate, or a mixture of these compounds; - at least one monomer unit resulting from at least one monomer chosen from the elements of the group consisting of acrylic acid, methacrylic acid, 2-carboxyethylacrylic acid, itaconic acid, maleic acid and 3-methyl-3-[(1-oxo-2-propenyl)amino]butanoic acid, the carboxylic function of said monomers being in free acid, partially salified or completely salified form; and - at least one monomer unit resulting from a polyethylenic crosslinking monomer chosen from methylenebis(acrylamide), ethylene glycol dimethacrylate, diethylene glycol diacrylate, ethylene glycol diacrylate, diallylurea, triallylamine, trimethylolpropane triacrylate, diallyloxyacetic acid or one of its salts, such as sodium diallyloxyacetate, or a mixture of these compounds; b. ethylenediaminedisuccinic acid in the trisodium salt form, said process comprising the following stages: a) preparation of the aqueous phase as defined above, b) preparation of an organic phase comprising at least one oil and an emulsifying surfactant (S 1) system of water-in-oil type, c) mixing the aqueous phase and the organic phase prepared in stages a) and b) and emulsifying so as to form an emulsion, d) inerting the emulsion with nitrogen, e) initiating the polymerization reaction by introduction, into the inerted emulsion, of a freeradical initiator, and f) introduction, into the reaction medium resulting from stage e), of an emulsifying surfactant (S 2) system of oil-in-water type at a temperature of between 30°C and 60°C. a) preparation of the aqueous phase as defined above, b) preparation of an organic phase comprising at least one oil and an emulsifying surfactant (S 1) system of water-in-oil type, c) mixing the aqueous phase and the organic phase prepared in stages a) and b) and emulsifying so as to form an emulsion, d) inerting the emulsion with nitrogen, e) initiating the polymerization reaction by introduction, into the inerted emulsion, of a freeradical initiator, and f) introduction, into the reaction medium resulting from stage e), of an emulsifying surfactant (S 2) system of oil-in-water type at a temperature of between 30°C and 60°C.