A cosmetic composition includes, in a physiologically acceptable medium, at least: one copolymer containing at least alkyl methacrylate, alkyl acrylate and acrylic acid monomers one non-volatile oil having a hydrocarbon-based chain containing at least 16 carbon atoms and having a molar mass of less than 650 g/mol and one glossy oil having a molar mass of greater than or equal to 650 g/mol.