This paper proposes to perform colour transfer by minimising a divergence (the L2 distance) between two colour distributions. We propose to model each dataset by a compact Gaussian mixture which is designed for the specific purpose of colour transfer between images which have different scene content. A non rigid transformation is estimated by minimising the Euclidean distance (L2) between these two distributions and the estimated transformation is used for transfering colour statistics from one image to another. Experimental results show that this is a very promising approach for transferring colour and it performs very well against an alternative reference approach.