We study the existence and some properties of travelling waves in partiallydegenerate reaction-diffusion systems. Such systems may for example describe intracellularcalcium dynamics in the presence of immobile buffers. In order to prove the wave existence,we first consider the non degenerate case and then pass to the limit as some of the diffusioncoefficient converge to zero. The passage to the limit is based on a priori estimates ofsolutions independent of the values of the diffusion coefficients. The wave uniqueness is alsoproved.