Tire (100) for vehicle wheels, comprising a carcass structure comprising at least one carcass layer (101) having opposed side edges associated with relative annular reinforcing structures (102), a belt structure applied in a radially outer position with respect to the carcass structure, a tread band applied in a radially outer position with respect to the belt structure; a pair of sidewalls laterally applied onto opposite sides with respect to the said carcass structure; and at least one antiabrasive strip (105) of elastomeric material applied in an outer position relative to each of the said annular reinforcing structures; in which the said at least one antiabrasive strip comprises a crosslinked elastomeric material obtained by crosslinking of a crosslinkable elastomeric composition comprising magnesium and/ or aluminium silicate inorganic fibres having nanometric dimensions, in which the said crosslinked elastomeric material has a dynamic modulus value E', at 70 DEG C and at a frequency of 10 Hz, of greater than 8 MPa.