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