Methods for producing oil from fats and oils having high free fatty acid content are provided. In the method, fats and oils are treated with a mixture including an alcohol to result in a low-free fatty acid oily phase and an alcohol phase. The mixture may also include an alkali. The alcohol may be a monohydric alcohol and an aqueous alcohol, such as an aqueous alcohol having a concentration of at least about 15% alcohol-by-weight. The low-free fatty acid phase may include oil and at least one impurity. The low-free fatty acid phase may be cooled, and the oil may be separated from the at least one impurity. Fats and oils amenable to such a method may include, but are not limited to, waste fats, waste oils, high acid grease, high acid tallow, sorghum heat oil, and corn oil, such as corn oil produced at an ethanol production plant.