The present invention relates to a composition comprising, in a cosmetically acceptable medium, at least one water-insoluble solid organic UV-screening agent (A) at least one compound (B) that may be obtained by reaction between: an oil bearing at least one nucleophilic and/or electrophilic reactive function, and a junction group capable of establishing hydrogen bonds with one or more partner junction groups, each junction group pairing involving at least 3 hydrogen bonds, the said junction group bearing at least one reactive function capable of reacting with the reactive function borne by the oil, the said junction group also comprising at least one unit of formula (I) or (II): in which: R1 and R3, which may be identical or different, represent a divalent carbon-based radical; R2 represents a hydrogen atom or a linear, branched or cyclic, saturated or unsaturated, optionally aromatic, C1-C32 carbon-based and especially hydrocarbon-based radical, which may comprise one or more heteroatoms chosen from O, N, S, F, Si and P.