The present application relates to a cosmetic composition in cast form, in a pot or as a stick, comprising at least one polyester that can be obtained by reaction: of at least one polyol comprising 3 to 6 hydroxyl groups; of at least one non-aromatic monocarboxylic acid; of at least one aromatic monocarboxylic acid, and of at least one polycarboxylic acid comprising at least 2 carboxyl groups COOH and/or a cyclic anhydride of such a polycarboxylic acid. The application also relates to a method of cosmetic treatment using said composition, as well as the use of this composition for the care or the make-up of the skin or of the lips.