This invention relates to a method for producing a triacylglycerol oil containing 96.5% or more of triacylglycerol, from refined palm oil. The method comprises the steps of heating an oil source containing triacylglycerol at a temperature between 45° C. and 100° C., rapidly cooling the oil source to a temperature in the range of 0° C. to 35° C. to form a solid fraction within the oil source, holding the solid fraction and the oil source at the same temperature for a period between 5 and 500 minutes and separating the solid fraction from the oil source by filtration.