The present invention relates to a composition comprising a dispersion of particles of at least one polymer that is surface-stabilized with a stabilizer in a non-aqueous medium containing at least one hydrocarbon-based oil, the polymer of the particles being a C1-C4 alkyl (meth)acrylate polymer the stabilizer being an isobornyl (meth)acrylate polymer chosen from isobornyl (meth)acrylate homopolymer and statistical copolymers of isobornyl (meth)acrylate and of C1-C4 alkyl (meth)acrylate present in an isobornyl (meth)acrylate/C1-C4 alkyl (meth)acrylate weight ratio of greater than 4, at least a first hydrocarbon-based oil and at least a second oil different from the first, and the saturating vapour pressure of which, measured at 25° C., is less than or equal to 15 Pa.The invention also relates to a process for making up and/or caring for keratin materials, in which said composition is applied.
