In a previous paper, authors used molecular simulation data for Lennard-Jones fluids for the regression of the binary interaction parameters of the LJ-SLV-EoS. The binary interaction parameters of the EoS have been expressed as simple functions of the ratios sigma(11)/sigma(22) and epsilon(11)/epsilon(22). This procedure allows obtaining a qualitative prediction of the solid liquid phase behavior of mixtures composed of simple fluids. This work presents the predicted phase diagrams including solid phases for binary mixtures composed of argon, oxygen, nitrogen, krypton, xenon, and methane. Predictions are in qualitative agreement with the phase behavior documented by the experimental data available from the literature. The adopted procedure allows producing a qualitative reasonable phase diagram for mixtures knowing the Lennard-Jones parameters of the mixture components. The comparison with literature data shows that the adopted procedure is suitable for predicting the solid liquid behavior of the mixture, distinguishing among eutectic, solid solution, solid liquid azeotrope. (C) 2014 Elsevier B.V. All rights reserved.