A process for building tyres for vehicle wheels includes: forming a tyre in process, the tyre including a belt structure and depositing a tread band in a position radially external to the belt structure by winding a continuous elongated element made of elastomeric material according to axially adjacent or partially overlapped coils. During the deposition of the tread band and on at least one of the coils already wound, a conductive liquid elastomeric compound is applied, the compound continuously extended between a radially outer surface of the tread band and a radially outer surface of the belt structure to generate electrically conductive paths and free zones.