NOVELTY - The process comprises treating fatty acid alkyl esters (FAAE) utilizing columns containing an adsorbent material for removing impurities from the FAAE, and regenerating the adsorbent material for removing adsorbed impurities from the adsorbent material thus providing re-use of the adsorbent material. The FAAE continuously flow through the adsorbent columns. The impurities are soap, metals, free glycerin, sterol glycosides and/or free fatty acids. The adsorbent material is a powder or is granulated. The regeneration of the adsorbent material is performed with a solvent.    USE - The process is useful for purification of fatty acid alkyl esters such as crude bio-diesel (claimed).    ADVANTAGE - The process enables simple, rapid, continuous, economical and eco-friendly purification of fatty acid alkyl esters by treating the esters with an adsorbent material contained in columns and regenerating the adsorbent material for re-use.    DETAILED DESCRIPTION - The process comprises treating fatty acid alkyl esters (FAAE) utilizing columns containing an adsorbent material for removing impurities from the FAAE, and regenerating the adsorbent material for removing adsorbed impurities from the adsorbent material thus providing re-use of the adsorbent material. The FAAE continuously flow through the adsorbent columns. The impurities are soap, metals, free glycerin, sterol glycosides and/or free fatty acids. The adsorbent material is a powder or is granulated. The regeneration of the adsorbent material is performed with a solvent. The process further comprises esterifying the free fatty acids in the solvent filtrate using sulfuric acid as a catalyst, separating glycerin and/or impurities from the alcohol and the bio-diesel and recycling the alcohol and the bio-diesel to be used directly in a transesterification reaction, pre-treating the FAAE in columns containing a cationic ion-exchange resin before entering a lead column of the adsorbent columns, regenerating the ion-exchange resin thus providing reuse of the ion-exchange resin, and separating glycerin from the alcohol and residual FAAE and recycling the alcohol and residual FAAE to be used directly in the transesterification reaction. The separated glycerin and/or impurities are added to glycerin and/or impurities from the transesterification reaction. The regeneration of the ion-exchange resin is performed with the solvent. INDEPENDENT CLAIMS are included for:    (1) a bio-diesel fuel; and    (2) a system for purification of fatty acid alkyl esters.    DESCRIPTION OF DRAWING(S) - The diagram shows a schematic view of a system for bio-diesel purification.    Adsorbent system (10)    Single adsorbent column (12)    Adsorbent material (14)    Crude bio-diesel (16)    Purified bio-diesel. (17)