The invention concerns a polyisocyanate composition having high functionality, obtained by polycondensation of diisocyanate or triisocyanate monomers, comprising: (a) 0.5 to 30 wt % of compounds bearing a single uretidinedione function; (b) 0.5 to 45 wt. % of compounds bearing a single isocyanurate function; (c) at least 40 wt. % of a mixture of polyisocyanate compounds having a molecular weight not less than three times the average molecular weight of the isocyanate monomers having the smallest molecular weight and bearing at least two isocyanate functions, said mixture having a ratio of carbonyl functions belonging to a uretidinedione cycle/carbonyl functions belonging to an isocyanate cycle+carbonyl functions belonging to a uretidinedione cycle not less than 4%; (d) 0 to 25 wt. % of compounds bearing at least an isocyanate function other than (a), (b) and (c); and (e) 0 to 10% of impurities.