Present invention relates to process for reducing MOSH and/or MOAH content from vegetable oil selected from the group consisting of palm-based oil, cocoa butter-based oil and any mixture thereof, and comprising steps of: a) Subjecting vegetable oil to short-path evaporation being performed at a pressure of below 1 mbar and under further processing conditions either: a1) at an evaporator temperature of between 210 and 240° C., and with a feed rate per unit area of evaporator surface of the shorth-path evaporation equipment of from 35 to 105 kg/h·m2, or a2) at an evaporator temperature of from 245 to 300° C., and with a feed rate per unit area of evaporator surface of the shorth-path evaporation equipment of from 110 and 170 kg/h·m2, b) Contacting the retentate vegetable oil with an adsorbent, and c) Subjecting the bleached retentate vegetable oil to a further refining step.