A three-parameter corresponding states (CS) model is proposed here for the prediction of the saturated liquid density of pure fluids pertaining to the two conformal families of halogenated alkanes and hydrofluoroethers (HFE), most of which are either already used or proposed for use as refrigerants. Two fluids from each family were chosen for their acentric factor value and the availability of dedicated saturated liquid density equations and at first, on the basis of the three-parameter CS model by Teja et al., the saturated liquid density of a given fluid was obtained in reduced variables. Assuming experimental saturated liquid density data for several components of each of the two families of fluids, an improvement was then introduced, substituting the acentric factor with a new constant scaling factor. As a final result, the proposed liquid model has a predictive nature. The prediction accuracy reached by this new method is similar to that of the dedicated equations, where available, for all the fluids in a family. The result is particularly satisfactory for application requirements in refrigeration.