The invention relates to a cosmetic process for caring for the skin, more particularly facial skin, in particular wrinkled skin, comprising: either the topical application to the skin of an extemporaneous mixture of a cosmetic composition comprising a hyaluronic acid polymer grafted with (meth)acrylate groups and an amine compound; or the sequential application to the skin of a cosmetic composition comprising a hyaluronic acid polymer grafted with (meth)acrylate groups and of an amine compound having one or more primary amine and/or secondary amine groups. The invention also relates to the use of said grafted hyaluronic acid polymer and of said amine compound as a skin tensioning agent.The invention also relates to a cosmetic composition obtained by mixing a cosmetic composition comprising said grafted hyaluronic acid polymer and said amine compound.The invention relates to a kit comprising a first cosmetic composition comprising said grafted hyaluronic acid polymer and a second composition comprising said amine compound, the first and second compositions each been packaged in a distinct packaging assembly.