The conservation of virgin olive oil quality during its shelf life could be considered a key issue for olive oil industry. To improve the product stability, virgin olive oils should not be stored with considerable amounts of suspended solids and water. The latter have to be removed from oil musts. The chapter reviews the main spread technologies and those recently proposed for the removal of suspended solids and the water from extravirgin olive oils. These technologies are described from an engineering perspective, and their effects on product quality during storage are discussed.