The present invention relates to a process for preparing a crosslinked
glycerol polyester, comprising a step of crosslinking a
glycerol polyester with a cyclic carboxylic polyanhydride A in the presence of a
metal triflate (or trifluoromethylsulfonate) compound, the cyclic carboxylic polyanhydride A comprising at least two cyclic carboxylic anhydride groups, the cyclic carboxylic polyanhydride A not comprising any linear carboxylic anhydride functions, and the
metal of the
metal triflate (or trifluoromethylsulfonate) compound being selected from the alkali and alkaline earth metals. The present invention also relates to a crosslinking composition useful for carrying out the process of the invention.