TECHNOLOGY FOCUS - BIOLOGY - Preferred Method: In the method, enzymatic catalysts are used for the conversion of the triglycerides by a biotechnological route and fermentative route by bio-fermentation including microbiological, sludges and other bacteriological media.    TECHNOLOGY FOCUS - INORGANIC CHEMISTRY - Preferred Components: The special catalysts are solid catalysts containing special metals in the composition e.g. metals of periods 5 and 6, either or not mutually associated on various supports including zeolites. The hydrogenating agent is water, reduced and hydrogenated derivatives of oxygen, sulfur or phosphorus.    TECHNOLOGY FOCUS - ORGANIC CHEMISTRY - Preferred Method: In the method, the special catalysts and hydrogenating agents are employed for the conversion of the triglycerides by a chemical route. The method is conducted at 200 degrees C, pressure of 100 atm according to the catalysts and oils used, residence time and concentration of reactants. The source of oil or fat undergoes a pre-esterification with an alcohol comprising 1-3C for esterifying the free fatty acids that is occasionally present. The oil employed is refined to remove the free fatty acids occasionally contained in it. The transformation process is carried out in batches in a reactor under stirring, in continuous fixed-bed reactors, or in tubular reactors with continuous feeding. The triglycerides are introduced in an emulsifying vessel for the preparation of an emulsion with adequate viscosity and maintenance of ideal temperature and pressure. The mixture obtained upon the conversion of the triglycerides into methyl esters is sent to a filtration system, and optionally to a decanting system, for separation of phases. The triglycerides that constitute the oil or fat occasionally not converted into methyl esters are recycled, upon being separated from the biodiesel obtained by vacuum fractionated distillation. Preferred Components: The triglycerides originate from vegetable or animal fats, or from other alternative sources of oils and fats. EXAMPLE - No suitable example given.