Method for producing a crosslinkable elastomeric composition comprising: (a) at least one first elastomeric polymer; (b) at least one layered material having an individual layer thickness of from 0.01 nm to 30 nm, preferably of from 0.05 nm to 15 nm; (c) at least one vulcanizing agent; said method comprising the following steps: (i) feeding said at least one layered material (b) and at least one second elastomeric polymer (d), into at least one extruder comprising a housing, at least one screw rotatably mounted in said housing including at least one feed opening and a discharge opening, said at least one layered material being fed into said at least one extruder in an amount higher than or equal to 70 phr, preferably higher than or equal to 100 phr, more preferably of from 150 phr to 400 phr, still more preferably of from 200 phr to 300 phr; (ii) mixing and softening said mixture so as to obtain a masterbatch; (iii) discharging the obtained masterbatch through a discharge opening; (iv) mixing the obtained masterbatch with said at least one first elastomeric polymer (a) and said at least one vulcanizing agent (c), to obtain the crosslinkable elastomeric composition, said mixing being carried out in a batchwise manner.