The present invention relates to a polymer composition comprising (A) from 60 to 90 wt% of a non-elastomeric polyethylene; (B) from 9.0 to 38 wt% of an elastomer; wherein onto component (A) or components (A) and (B) an acid grafting agent (C) has been grafted in an amount of from 0.01 to 3.0 wt%, all based on the total weight of the polymer composition, and wherein the polymer composition has two distinct peaks and a valley between said peaks in the GPC curve and a Z value, determined from the areas below the two peaks of the GPC curve, of at least -0.3, wherein the Z-value is determined according to formula (I) Z = s/Abs(B-A) (I) wherein Abs(B-A) is the absolute value of (B-A); A = the area, between the tangent parallel to the MW axis going through logM (Min) and the LS15 signal, from logM of 5.1 to logM value where the LS signal is minimum logM (Min), in the logM range between 5.1 and 6; B = the area, between the tangent parallel to the MW axis going through logM (Min) and the LS 15 signal, from logM(Min) to the point where the LS signal is crossed again; and s is the slope between the two peaks of the GPC curve, defined at logM of 5.1 and 6, wherein the GPC curve is defined as the concentration normalized LS 15 signal along the molecular weight of conventional GPC, obtained from the GPC-VISC-LS analysis, a multi-layer structure such as a coated metal pipe, comprising one layer comprising said polymer composition and the use of said polymer composition as adhesive polymer composition and for the production of a multi-layer structure.