The present invention relates to an anhydrous, in particular cosmetic, composition comprising, in an oily fatty phase, at least: a) a C3-C10 diol, b) hydrophobic silica aerogel particles, c) exfoliating particles in an amount ranging from 10% to 50% by weight with respect to the total weight of the composition, said composition exhibiting, at a temperature of 25°C, a viscosity of between 10 and 20 Pa.s.
