A process for the physical refining of edible oils and fats, said process comprising three consecutive stages, whereby in a first stage at least 60% by weight of the volatiles are evaporated in a flash vessel, in a second stage some residual volatiles are evaporated by countercurrent steam stripping using a packed column (3), and in a third stage further residual volatiles are evaporated in a cross-flow tray system (2), wherein the pressure in said flash vessel is maintained at a value below the pressure prevailing above said packed column (3)； and an apparatus for the physical refining of edible oils and fats comprising a flash vessel, a packed column (3), sparging trays (2) and the means to maintain the pressure in said flash vessel at a value that is below the pressure prevailing above said packed column.
