The invention concerns an adhesive composition consisting of at least one ethylene polymer or copolymer, said composition comprising at least one unsaturated carboxylic acid ester comonomer, and at least one functional comonomer, useful in an extrusion-coating process for application on a support or in an extrusion-lamination process for bonding together several supports of different type or not, in a wide temperature range. The invention is characterized in that said composition has an unsaturated carboxylic acid ester content higher than 5 wt % and in that the functional comonomer consists of at least one reactive function in the form of an acid group, anhydride or epoxy, whereof the proportion is less than 1 wt % of the composition. Said composition has advantageous uses, in particular for bonding together substrates selected among aluminum, paper or cardboard, cellophane, films based of polyethylene, polypropylene, polyamide, polyester, polyvinyl chloride (PVC), polyvinylidene chloride (PVDC), polyacrylonitrile (PAN) resins, oriented or not, metal-coated or not, physically or chemically treated or not and films coated with a thin inorganic barrier layer, such as polyester (PET, SiOx or AlOx).