The present invention relates to a tyre comprising at least one structural element including a crosslinked elastomeric material obtained by crosslinking a crosslinkable elastomeric composition comprising: (a) 100 phr of at least one elastomeric polymer; (b) from about 0.1 phr to about 120 phr of at least one reinforcing filler; (c) from about 0.01 phr to about 20 phr of at least one oxetane derivative; and (d) from about 0.01 phr to about 10 phr of at least one carboxylic acid. Preferably, said structural element is selected from: tread band, tread underlayer, bead filler, sidewalls, and sidewall inserts.