A process for producing a protein isolate from an oilseed meal, comprising: -mixing an oilseed meal produced by cold pressing with an aqueous solvent to form a slurry -optionally treating the slurry with phytase at a temperature and a pH suitable for phytase activity -separating the slurry with a solid/liquid separation to form: i) a liquid phase, comprising the aqueous solvent, soluble protein and oil and ii) a solid phase -separating the liquid phase to form: i) an oil phase and ii) an aqueous protein phase -subjecting the aqueous protein phase to membrane filtration to obtain a protein solution and -drying the protein solution to obtain the protein isolate, wherein the temperature in the cold pressing does not exceed 85°C.