The invention relates to a cosmetic composition comprising two or more than two separate liquid phases: (i) one of the liquid phases comprising an alcoholic or aqueous-alcoholic medium and one or more fixing polymers that are soluble in the said medium, and (ii) the other of the liquid phases being a fatty phase that is insoluble in phase (i) and comprising one or more fatty substances, the phase (i) comprising from 0 to 50% by weight of water relative to the total weight of phase (i). The invention also relates to a pump bottle containing a cosmetic composition of the invention,as well as a cosmetic process for treating keratin materials, and more particularly the hair, using the pump bottle of the invention.
