The vast Dolomites mountain range (or Dolomiti Superski area to give it its proper skiing name) boasts 1,200km of pistes and is home to the Marmolada Glacier which towers above the area at a dizzying 3,343m. It's also home to some of the most advanced snow making in the world. An astounding 90% of the 668 runs in the Dolomites have snow making capabilities, so late season snow won't be a problem here!
The full ski area tends to close around mid-April, however there are some resorts such as Kronplatz, Arabba or Cortina d'Ampezzo that may stay open later.
For a relaxing and convenient place to stay, the Neilson Chalet Hotel Dolomites Inn in Val di Fassa provides great access to the Sella Ronda (a 40km ski circuit with stunning scenery) and then on to the Marmolada glacier.