TECHNOLOGY FOCUS - ORGANIC CHEMISTRY - Preferred Component: The biolipid is vegetable oil or animal fat, or virgin and/or waste vegetable oil or an animal fat. It is from apricot oil, cashew, peanut, avocado, hemp, colza, cotton, rice bran, sunflower, linen, linseed, maize, almond, hazelnut, walnut, coconut, olive, palm, poppy, castor bean, mustard, sesame, soy, soy bean, pumpkin, or tallow, all of which may be virgin and/or waste. The basic catalyst is sodium methylate, potassium hydrate, or barium hydrate, at the rate of 0.3-1 wt.% relative to the weight of the separated triglyceride component. Preferred Process: The extraction is carried out by a pulsating filling column at 40-60degreesC, with a methanol/biolipid weight ratio between 1.2-2.0, where column is filled in a structured manner. Esterification of the acid component with methanol is carried out in the presence of heterogeneous acid catalyst(s), which is a cationic resin in acid form, in a vertical column-type esterification reactor at 60-110degreesC. 50-80 wt.% Of methanol used for carrying out esterification is extracted continuously from the esterification reactor head, in the vapor phase, to be subsequently anhydrified on a dehydrating agent through distillation or adsorption. The third step is carried out in a tubular trans-esterification reactor at 70-100degreesC for permanence times of 30-90 minutes, where excess methanol is 300-500 wt.% relative to the stoichiometric quantity of the separated triglyceride component. The basic catalyst is neutralized with carbon dioxide, downstream of the trans-esterification reactor at a partial pressure of greater than or equal to 1 bar. EXAMPLE - Raw palm oil (10 kg) having a free acidity of 5% was extracted continuously with methanol (14.1 kg) in a glass column. A methanol phase containing 97% of the initial acidity and an organic phase with 0.15% of residual free acidity (expressed as oleic acid) were obtained. The methanol phase was fed into a cylindrical reactor regulated at 70degreesC and filled with Amberlyst 15(RTM: dry strong cationic resin) (1 L). During the operation, approximately 70% of methanol was taken from the reactor head and subsequently anhydrified. The esterified methanol phase was added to the triglyceride fraction and was then subjected to trans-esterification in the presence of sodium methylate as a catalyst at 80degreesC, to obtain methylester (biodiesel).