The invention provides a hair colouring composition in the form of a dispersion comprising (a) from 0.1% to 25% weight, based on the weight of the composition, of a water-dispersible, sulphonate group-containing polyester polymer, (b) from 0.5% to 45% weight, based on the weight of the composition, of a pigment, (c) from 10% to 95% weight, based on the weight of the composition, of water. Also provided, according to further aspects of the invention, are methods for using such a composition and a packaged product containing such a composition.