The invention relates to the use, in a cosmetic composition or for the production of a cosmetic composition, of an extract of an exsudate of the plant Daniellia oliveri, said exsudate being at least partially made up of the oleoresin of said plant. It relates most particularly to the use of this extract as a cosmetic agent for modifying the surface of the skin by giving it a smoother appearance through a reduction in the depth of the wrinkles and/or fine lines and/or by providing it with a re-plumping effect. It also relates to a cosmetic care method for modifying the surface of the skin by giving it a smoother appearance through a reduction in the depth of the wrinkles and fine lines and/or by providing it with a re-plumping effect, comprising the application, to the areas of the skin in question, of a cosmetic composition containing this extract.