Detergent or micelle free cleaning media based on detergent free and/or micelle free liquid CO2 and including from 0.01 to 5% by weight of the formulation of a cleaning additive which is at least one multi-ester having a molecular weight of not more than 750 can be used in dry cleaning of textiles. Desirable cleaning additives are of the formula (1): R1(XR2)n where X, R1, R2, and n have defined meanings, particularly to be esters of multi-carboxylic acids and mono-hydroxy alcohols or esters of mono-carboxylic acids and multi-hydroxy alcohols.