Small displays are widely used for mobile phones, PDA and Portable DVD players. They are small to be carried around and viewed under various surround conditions. An experiment was carried out to accumulate colour appearance data on a 2 inch mobile phone display, a 4 inch PDA display and a 7 inch LCD display using the magnitude estimation method. It was divided into 12 experimental phases according to four surround conditions (dark, dim, average, and bright). The visual results in terms of lightness, colourfulness, brightness and hue from different phases were used to test and refine the CIE colour appearance model, CIECAM02 . The refined model is based on continuous functions to calculate different surround parameters for mobile displays. There was a large improvement of the model performance, especially for bright surround condition.