A new asymmetric framework for modeling liquid-liquid equilibrium (LLE) in electrolyte/mixed-solvent systems is demonstrated, with focus on systems involving a dilute aqueous solution of an ionic liquid (IL). The extent to which this approach is able to Predict ternary LLE, using parameters obtained from binary and pure-component data only, is evaluated. For this purpose, ternary IL/solvent/water systems are used as examples. Comparisons of predicted LLE are made to experimental data representing various types of ternary LLE behavior, as well as to predictions obtained from standard symmetric models. Results indicate that an asymmetric NRTL/eNRTL model provides better predictions of ternary LLE for systems containing ILs and water than standard symmetric models.