A method for treating vegetable oils and / or animal fats comprising the following steps: (i) supplying an oil supply stream (1) to a vacuum vapor release column operating at a vacuum level of at least 0, 1 kPa (1 mbar), said oil supply stream (1) comprises volatile compounds such as free fatty acids, micronutrients and neutral oils such as mixtures of tri-, di- and mono-acylglycerides, releasing fatty acids, micronutrients together with others volatile compounds and neutral oils; (ii) supply the fatty acids, the micronutrients together with other volatile compounds and neutral oils released to a high temperature condensation zone, condense the neutral oils from the vapor phase at an elevated temperature of at least 150 ° C, obtain condensed neutral oils, retain and return all or some portion of the neutral oils to the spill column in step (i) either directly or indirectly through upstream functions, such as bleaching operation and / or degumming operation / neutralization, allowing steam, volatile fatty acids, micronutrients together with other volatile compounds to enter the cold condensation zone in step (iii) or allowing steam, volatile fatty acids, micronutrients together with other compounds volatiles are supplied to a distillation column at a distillation stage before the cold condensation zone in the eta pa (iii); (iii) condense volatile fatty acids, micronutrients together with other volatile compounds in a cold condensation zone operating at a temperature within the range of about 25 ° C to about 80 ° C, obtain a condensate comprising volatile fatty acids, micronutrients together with other volatile compounds and a stream (4) comprising steam, non-condensable gases, traces of fatty acids and other lighter hydrocarbon vapors, allowing the stream (4) to continue to the steam system; and that the method also comprises obtaining a stream of neutral oils (7), a stream of fatty acid product (5) and a stream enriched in micronutrients (6).Un método para tratar ac