A process for producing tyres including building a green tyre having two bead structures. Each bead structure includes a bead filler. The bead filler or another rigid component of the green tyre includes a final elastomeric compound produced by the following: feeding elastomeric polymer and reinforcement filler to a first batch mixing device; mixing and dispersing the reinforcement filler in the elastomeric polymer and unloading the obtained elastomeric compound; feeding the obtained elastomeric compound, along with at least 5 phr of reinforcement resin, to a continuous mixing device of intermeshing and co-rotating twin-screw or multi-screw type or of planetary type; mixing the reinforcement resin in the elastomeric compound and unloading the obtained elastomeric compound; and feeding the obtained elastomeric compound along with the components capable of facilitating the cross-linking to a second batch mixing device and mixing to obtain the final elastomeric compound. The first and second batch mixing device have two counterrotating rotors.