The present invention relates to a process for making a fatty preparation to be incorporated in a product selected from a bakery product, a personal care product, cosmetics, dermocosmetics, soaps, varnishes, paints or snacks, preferably a bakery product, wherein said fatty preparation does not comprise fats with a saturated fat content higher than 35% by weight nor trans fats. The present invention further relates to a fatty preparation and to a bakery product, a personal care product, cosmetics, dermocosmetics, soaps, varnishes, paints or snacks, preferably a bakery product comprising the same.