Tyre for heavyload vehicle wheels, comprising: • a carcass structure comprising at least one carcass ply comprising reinforcing cords and having ends associated with respective bead structures; • a belt structure disposed in a radially outer position with respect to said carcass structure, said belt structure radially outwardly comprising: - at least a first belt layer comprising reinforcing cords disposed according to a first direction forming a first angle with respect to an equatorial plane of the tyre; - at least a second belt layer comprising reinforcing cords disposed according to a second direction forming a second angle with respect to the equatorial plane of the tyre, said second angle being opposite to said first angle; - at least a third belt layer comprising reinforcing cords disposed according to a third direction forming a third angle with respect to the equatorial plane of the tyre, said third angle being of at least 10° in absolute value; • a tread band disposed in radially outer position with respect to said belt structure; • at least two inserts disposed between respective axial ends of said belt structure and said tread band, each of said inserts comprising a first portion being tapered towards the equatorial plane of said tyre and a second portion being tapered towards a rotation axis of said tyre, each of said inserts being formed with a first vulcanised elastomeric material comprising a diene polymer and an amount of a reinforcing filler, characterized in that said amount of reinforcing filler comprises at least 70% of silica and said first vulcanised elastomeric material is formed starting from a first elastomeric composition comprising an N-alkyl pyrrolidone derivative having general formula: wherein R, R 1, R 2, R 3, R 4 and R 5, being equal or different from each other, represent a hydrogen atom, or an alkyl group C 1 -C 20, or R and R 1, linked together, form a cyclic structure of 5 or 6 carbon atoms or still, R and R 1 are combined together to form a double bond; and wherein n is equal to 1 or, if greater than 1, represents a number of monomeric units of the corresponding N-alkyl pyrrolidone polymer. • a carcass structure comprising at least one carcass ply comprising reinforcing cords and having ends associated with respective bead structures; • a belt structure disposed in a radially outer position with respect to said carcass structure, said belt structure radially outwardly comprising: - at least a first belt layer comprising reinforcing cords disposed according to a first direction forming a first angle with respect to an equatorial plane of the tyre; - at least a second belt layer comprising reinforcing cords disposed according to a second direction forming a second angle with respect to the equatorial plane of the tyre, said second angle being opposite to said first angle; - at least a third belt layer comprising reinforcing cords disposed according to a third direction forming a third angle with respect to the equatorial plane of the tyre, said third angle being of at least 10° in absolute value; - at least a first belt layer comprising reinforcing cords disposed according to a first direction forming a first angle with respect to an equatorial plane of the tyre; - at least a second belt layer comprising reinforcing cords disposed according to a second direction forming a second angle with respect to the equatorial plane of the tyre, said second angle being opposite to said first angle; - at least a third belt layer comprising reinforcing cords disposed according to a third direction forming a third angle with respect to the equatorial plane of the tyre, said third angle being of at least 10° in absolute value; • a tread band disposed in radially outer position with respect to said belt structure; • at least two inserts disposed between respective axial ends of said belt structure and said tread band, each of said inserts comprising a first portion being tapered towards the equatorial plane of said tyre and a second portion being tapered towards a rotation axis of said tyre, each of said inserts being formed with a first vulcanised elastomeric material comprising a diene polymer and an amount of a reinforcing filler, wherein R, R 1, R 2, R 3, R 4 and R 5, being equal or different from each other, represent a hydrogen atom, or an alkyl group C 1 -C 20, or R and R 1, linked together, form a cyclic structure of 5 or 6 carbon atoms or still, R and R 1 are combined together to form a double bond; and wherein n is equal to 1 or, if greater than 1, represents a number of monomeric units of the corresponding N-alkyl pyrrolidone polymer.