The present invention relates to a cosmetic composition comprising, in a cosmetically acceptable medium, at least: (a) a supramolecular compound that may be obtained by reaction between: —at least one oil bearing at least one nucleophilic reactive function chosen from OH and NH2, and —at least one junction group capable of establishing hydrogen bonds with one or more partner junction groups, each pairing of a junction group involving at least three hydrogen bonds, the said junction group bearing at least one isocyanate or imidazole 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): (b) at least two distinct non-volatile silicone oils chosen from: i) phenyl silicone oils, in particular of formula (II) or (VII) below: ii) linear or cyclic polydimethylsiloxanes (PDMSs), iii) polydimethylsiloxanes comprising alkyl or alkoxy groups, which are pendent and/or at the end of the silicone chain, these groups each containing from 2 to 24 carbon atoms, and (d) at least one agent for structuring the liquid fatty phase.
