A process is disclosed for recovering fats and oils from oil fruits and oil seeds, wherein the oil fruits and oil seeds are cleaned, immediately thereafter pressed cold in a screw press without prior mechanical conditioning, and then extracted. In this process, the extraction is effected immediately after pressing by treating the oil fruits and oil seeds with countercurrently flowing carbon dioxide, ethane, ethene and/or propane at a temperature of from 40.degree. to 110.degree. C. and at a pressure of from 250 to 750 bar, for a time period of from 0.5 to 2.5 hours, with the solvent ratio lying between 5 and 30 kg solvent per 1 kg pressed cake. The separation of the extracted fats and oils from the separated solvent phase is effected by pressure reduction and/or temperature change. The invention also includes an apparatus for implementing the process.