The present invention relates to a composition comprising, in a cosmetically acceptable medium, at least one continuous oil phase, characterized in that the oil phase comprises a) at least one non-volatile non-cyclic silicone oil with a viscosity at 25° C. ranging from 4 to 5000 mm2/s, better still from 4 to 1000 mm2/s and even better still from 4 to 200 mm2/s and b) at least one lipophilic organic UV-screening agent and c) hydrophobic silica aerogel particles with a specific surface area per unit of mass (SM) ranging from 200 to 1500 m2/g, preferably from 600 to 1200 m2/g and better still from 600 to 800 m2/g, and a size, expressed as the volume mean diameter (D[0.5]), of less than 1500 μm, preferably ranging from 1 to 30 μm, more preferentially from 5 to 25 μm, better still from 5 to 20 μm and even better still from 5 to 15 μm. The invention also relates to a cosmetic process for caring for and/or making up human keratin materials, especially bodily or facial skin or the hair, comprising at least the application to the surface of the keratin material of at least one composition as defined previously.