Here in Zermatt it is possible ski year round. To get from the town up to the Matterhorn Glacier Paradise takes some time, but once you are there, there is quite big area open to ski already. Thanks to the snowfall a few weeks ago the Furggsattel Gletscherbahn chairlift is open as well, which will allow you to have a good warm up for the ski season. It is also possible to reach the Matterhorn Glacier Paradise from Cervinia in Italy, worth a try and cheaper to stay overnight.
But there are also other possibilities not far from here:
Before you decide to head to one of these glaciers, make sure you check the latest resort information.