In this work we have been interested in the problem of predicting thermodynamic properties of binary systems in a wide range of temperature or pressure. Towards this end, we have estimated the parameters of the models considered in a previous paper by using both vapor-liquid equilibrium data and mixing enthalpies determined at low temperatures (usually at 298.15 K). The obtained results show that at moderates temperatures, the representation of the vapor-liquid equilibria and mixing enthalpies is comparable to that obtained with the parameters estimated over the whole set of data used in the first part of this work. At high temperature, the calculation of the vapor-liquid equilibria is very satisfactory. The interest of this method remains, of course, in the limited quantity of data which we can dispose (i.e., thermodynamic properties at a single temperature), but also in the method of parameter estimation that ensure the thermodynamic consistency of the models.