Process wherein the fatty acid residues on a glyceride moiety are randomised over the terminal and middle positions, wherein the process proceeds to a conversion degree on the terminal positions, Re, ranging from 0.3 to 0.95, and wherein a conversion degree on the middle position, Ra, ranges from 0.06 to 0.75, and wherein Ra is greater than 0.32Re-0.08, the process comprises the exposure of a triglyceride fat to a catalyst comprising a lipase wherein the lipase is a Thermomyces lanuginosa lipase which has an activity of at least 250 IUN corresponding to 22 g/(g*h) at the onset of the process.