Provided is a method for dyeing a polymer material with an aqueous pigment composition containing at least one pigment dispersed therein, wherein the polymer material is a blend including a first polymer composition and a second polymer composition which is compatible with the first polymer composition, which second polymer composition includes a binding agent for the at least one pigment. The method includes the steps of heating the polymer material to an activation temperature below the softening temperature of the polymer material, contacting the polymer material with the aqueous pigment composition at a contact temperature for a period of time sufficient to form a pigmented polymer material, subjecting the pigmented polymer material to a fixation step to fixate the at least one pigment therein by cooling the pigmented polymer material to a fixation temperature which is lower than the temperature at which contacting of the polymer material with the aqueous pigment composition is carried out.