Composition comprising, in a cosmetically acceptable medium, a) at least one water-insoluble solid organic UV-screening agent having a solubility in water of less than 0.1% (0.1 g per 100 g of water) at 25°C and at an atmospheric pressure of 760 mmHg and having a solubility of at least 1% in isopropyl N-lauroyl sarcosinate at 25°C and at an atmospheric pressure of 760 mmHg (at least 1 g in 100 ml of isopropyl N-lauroyl sarcosinate), and b) at least one compound 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 or: in which: - R1 and R3, which may be identical or different, represent a divalent carbon-based radical chosen from (i) a linear or branched C 1 -C 32 alkyl group, (ii) a C 4 -C 16 cycloalkyl group and (iii) a C 4 -C 16 aryl group; optionally comprising 1 to 8 heteroatoms chosen from O, N, S, F, Si and P; and/or optionally substituted with an ester or amide function or with a C 1 -C 12 alkyl radical; or a mixture of these groups; - R2 represents a hydrogen atom or a linear, branched or cyclic, saturated or unsaturated, optionally aromatic, C 1 -C 32 carbon-based and especially hydrocarbon-based radical, which may comprise one or more heteroatoms chosen from O, N, S, F, Si and P. a) at least one water-insoluble solid organic UV-screening agent having a solubility in water of less than 0.1% (0.1 g per 100 g of water) at 25°C and at an atmospheric pressure of 760 mmHg and having a solubility of at least 1% in isopropyl N-lauroyl sarcosinate at 25°C and at an atmospheric pressure of 760 mmHg (at least 1 g in 100 ml of isopropyl N-lauroyl sarcosinate), and b) at least one compound 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 or: in which: - R1 and R3, which may be identical or different, represent a divalent carbon-based radical chosen from (i) a linear or branched C 1 -C 32 alkyl group, (ii) a C 4 -C 16 cycloalkyl group and (iii) a C 4 -C 16 aryl group; optionally comprising 1 to 8 heteroatoms chosen from O, N, S, F, Si and P; and/or optionally substituted with an ester or amide function or with a C 1 -C 12 alkyl radical; or a mixture of these groups; - R2 represents a hydrogen atom or a linear, branched or cyclic, saturated or unsaturated, optionally aromatic, C 1 -C 32 carbon-based and especially hydrocarbon-based radical, which may comprise one or more heteroatoms chosen from O, N, S, F, Si and P. - 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 or: - R1 and R3, which may be identical or different, represent a divalent carbon-based radical chosen from (i) a linear or branched C 1 -C 32 alkyl group, (ii) a C 4 -C 16 cycloalkyl group and (iii) a C 4 -C 16 aryl group; optionally comprising 1 to 8 heteroatoms chosen from O, N, S, F, Si and P; and/or optionally substituted with an ester or amide function or with a C 1 -C 12 alkyl radical; or a mixture of these groups; - R2 represents a hydrogen atom or a linear, branched or cyclic, saturated or unsaturated, optionally aromatic, C 1 -C 32 carbon-based and especially hydrocarbon-based radical, which may comprise one or more heteroatoms chosen from O, N, S, F, Si and P.