Yes, there are many areas for skiing and snowboarding in Italy. The most well-known are Alta Badia, Arabba, Bardonecchia, Bormio, Cervinia, Cortina d'Ampezzo, Courmayeur, Livigno, Madonna di Campiglio, Monterosa, Passo Tonale, Plan de Corones, Sestriere, and Val Gardena.