Tyre for vehicle wheels, comprising an equatorial plane and a tread band having a first annular shoulder portion arranged on one side of said equatorial plane and a second annular shoulder portion arranged on an axially opposite side to said first annular shoulder portion with respect to said equatorial plane, wherein said tread band comprises a module that includes: - a pair of second block portions (141a, 141b) arranged in said second annular shoulder portion and extending mainly along a substantially axial direction, wherein the term "extending mainly along a substantially axial direction" indicates that each of said second block portions (141a, 141b) has an extension along a substantially axial direction greater than the one along a circumferential direction; - a transversal groove arranged between the block portions (141a, 141b) of said pair of second block portions (141a, 141b); wherein the ratio between the circumferential width of said transversal groove, measured on any circumferential plane that intersects said pair of second block portions (141a, 141b), and the circumferential width of at least one block portion (141a, 141b) of said pair of second block portions (141a, 141b), measured on any circumferential plane that intersects said pair of second block portions (141a, 141b), is greater than, or equal to, 0.5; wherein said tread band comprises a third block portion having a main portion extending mainly along a substantially circumferential direction and connected to a first block portion of said pair of second block portions (141a, 141b) to form a single block with said first block portion, wherein the term "extending mainly along a substantially circumferential direction" indicates that said third block portion has an extension along a substantially circumferential direction greater than the one along an axial direction; wherein the pair of second block portions (141a, 141b) is arranged in an axially more outer shoulder portion of the tread band and the main portion is arranged in an axially more inner shoulder portion of the tread band, wherein the term "axially more outer" indicates a position axially farther to a vehicle on which the tyre will be mounted and the term "axially more inner" indicates a position axially closer to the vehicle on which the tyre will be mounted. - a pair of second block portions (141a, 141b) arranged in said second annular shoulder portion and extending mainly along a substantially axial direction, wherein the term "extending mainly along a substantially axial direction" indicates that each of said second block portions (141a, 141b) has an extension along a substantially axial direction greater than the one along a circumferential direction; - a transversal groove arranged between the block portions (141a, 141b) of said pair of second block portions (141a, 141b); wherein the ratio between the circumferential width of said transversal groove, measured on any circumferential plane that intersects said pair of second block portions (141a, 141b), and the circumferential width of at least one block portion (141a, 141b) of said pair of second block portions (141a, 141b), measured on any circumferential plane that intersects said pair of second block portions (141a, 141b), is greater than, or equal to, 0.5; wherein said tread band comprises a third block portion having a main portion extending mainly along a substantially circumferential direction and connected to a first block portion of said pair of second block portions (141a, 141b) to form a single block with said first block portion, wherein the term "extending mainly along a substantially circumferential direction" indicates that said third block portion has an extension along a substantially circumferential direction greater than the one along an axial direction; wherein the pair of second block portions (141a, 141b) is arranged in an axially more outer shoulder portion of the tread band and the main portion is arranged in an axially more inner shoulder portion of the tread band, wherein the term "axially more outer" indicates a position axially farther to a vehicle on which the tyre will be mounted and the term "axially more inner" indicates a position axially closer to the vehicle on which the tyre will be mounted.