The present invention relates to a method for treating vegetable oils and/or animal fats comprising a vacuum steam stripping operation, condensing the neutral oils from vapour phase at an elevated temperature, retaining and sending back to the stripping column, allowing steam, volatile fatty acids, micronutrients together with other volatiles to pass to a cold condensation zone, and condensing the volatile fatty acids, micronutrients together with other volatiles in the cold condensation zone, producing a condensate and a stream of steam, non-condensable gases along with traces of fatty acids and other lighter hydrocarbons vapours. The invention may include a distillation step, either between the high and low temperature condensation zones or following the cold condensation zone.