The renormalization of Guggenheim’s canonical partition function to satisfy the limits of order and disorder (Wang and Vera, 1993), has been used to generate excess Gibbs energy models for liquid mixtures. Two different options have been studied in this work. First, Guggenheim’s zeroth approximation is assumed for the configurational energy term. Second, local order effects are assumed and the quasichemical theory is used. The two models contain three binary parameters. The results of simultaneous calculations of ternary liquid-liquid equilibria and the respective binary systems, using the same set of parameters, are presented. Methods for reducing from three to two binary parameters, necessary to predict ternary liquid-liquid equilibria from binary data, are discussed.