Edible oils can be deacidified by solvent extraction, and the comprehension of liquid liquid equilibrium is essential to the design process. Thus, this study aims to determine the data of liquid liquid equilibrium for the fatty systems containing triacylglycerols (TAG) of refined oils (soybean, cottonseed, and rice bran) + commercial fatty acid (linoleic and oleic) + diacylglycerols (DAG) of commercial mixture of mono- and diacylglycerols + monoacylglycerols (MAG) of commercial mixture of mono- and diacylglycerols + anhydrous ethanol at different temperatures (303.15 K and 318.15 K). The high performance size exclusion chromatography (HPSEC) method was used for quantification of all components: TAG, DAG, MAG, fatty acids, and ethanol in both phases in equilibrium. The preference of fatty acids to solvent phase is consistent to previously reported data in literature. The mass fraction of MAG was more than 2 times greater in the solvent phase, and the DAG concentration is higher in the oil phase. The average deviation between experimental and calculated compositions, using NRTL model, was less than 1 %. The obtained parameter set enables the simulation of liquid liquid extractors for edible soybean, cottonseed, considering the complex multicomponent mixtures' composed of tri-, di-, and monoacylglycerols and rice bran oil deacidification, and fatty acids.