Process for manufacturing a tyre for vehicle wheels comprising a tread band at a radially outer position with respect to an inner tyre component (2, 6) having at least one electrically conductive surface, wherein the process comprises: i) forming said inner component (2, 6) of the tyre on at least one supporting element, so as to arrange said at least one electrically conductive surface at a radially outermost position with respect to the inner component (2, 6), the electrically conductive surface extending substantially for the entire circumferential development of said inner component (2, 6); ii) forming at least a first portion of the tread band at a radially outer position with respect to said at least one electrically conductive surface, by depositing at least one continuous elongated element of green elastomeric material according to contiguous circumferential coils, wherein said first portion of the tread band comprises at least one radially outer part defining a radially outer surface of the tread band of the tyre and has an exposed surface extending for at least an entire thickness of the tread band between said electrically conductive surface and said radially outer surface of the tread band for the entire circumferential development of the tread band; iii) applying, on said substantially radially extending exposed surface an electrically conductive material comprising at least one carbon black having a BET surface area, measured in accordance with standard ASTM D 6556-16, of at least 300 m 2 /g and an OAN, Oil Absorption Number, absorption value, measured in accordance with standard ASTM D2414-16, equal to or greater than 200 ml oil/100 g carbon black so as to form an electrically conductive layer having a thickness, measured along a transversal cross section with respect to the rolling direction of the tyre, of 0.001 - 0.5 mm, and having a substantially radial extension at least equal to the thickness of the tread band; iv) forming at least a second portion of the tread band at a radially outer position with respect to said electrically conductive surface, by depositing at least one continuous elongated element of green elastomeric material according to contiguous circumferential coils, at an axially contiguous position with respect to the electrically conductive layer, so as to incorporate the same in the thickness of the tread band. i) forming said inner component (2, 6) of the tyre on at least one supporting element, so as to arrange said at least one electrically conductive surface at a radially outermost position with respect to the inner component (2, 6), the electrically conductive surface extending substantially for the entire circumferential development of said inner component (2, 6); ii) forming at least a first portion of the tread band at a radially outer position with respect to said at least one electrically conductive surface, by depositing at least one continuous elongated element of green elastomeric material according to contiguous circumferential coils, wherein said first portion of the tread band comprises at least one radially outer part defining a radially outer surface of the tread band of the tyre and has an exposed surface extending for at least an entire thickness of the tread band between said electrically conductive surface and said radially outer surface of the tread band for the entire circumferential development of the tread band; iii) applying, on said substantially radially extending exposed surface an electrically conductive material comprising at least one carbon black having a BET surface area, measured in accordance with standard ASTM D 6556-16, of at least 300 m 2 /g and an OAN, Oil Absorption Number, absorption value, measured in accordance with standard ASTM D2414-16, equal to or greater than 200 ml oil/100 g carbon black so as to form an electrically conductive layer having a thickness, measured along a transversal cross section with respect to the rolling direction of the tyre, of 0.001 - 0.5 mm, and having a substantially radial extension at least equal to the thickness of the tread band; iv) forming at least a second portion of the tread band at a radially outer position with respect to said electrically conductive surface, by depositing at least one continuous elongated element of green elastomeric material according to contiguous circumferential coils, at an axially contiguous position with respect to the electrically conductive layer, so as to incorporate the same in the thickness of the tread band.