A model is presented to explain the shape of the thermogram obtained by differential scanning calorimetry of the melting of the crystallized droplets of an emulsion. This model is entirely different from the model presented in Part 1 of this study concerning the crystallization of undercooled liquid droplets. In spite of the purity of the dispersed substance, significant temperature gradients are found, in contrast to the classical assumption of a uniform melting temperature. The model also gives the kinetics of the melting of the droplets which depends on their location.