The heat transfers during the melting of the crystallized droplets inside an emulsion are investigated. Contrary to the crystallization case (see Part 1), in the case of pure substances, the melting of the crystallized droplets occurs, upon heating, at a fixed temperature T(F) which corresponds to the phase equilibrium and the kinetics of melting depends on the heat transfer between the droplet and the emulsifying medium. So, the model, for melting, is quite different from the model for crystallization. As for cooling, the space-time evolution of the temperature inside a metallic cylinder filled with the emulsion is investigated. The dispersed substances are hexadecane, octadecane and water. The effect of different parameters such as the heating rate, the mass fraction or the final temperature is analyzed. A comparison will be made with experimental results.