In reply to mark burley:
I went to Yllas in Finland two years ago with a non skiing girlfiend. There was loads of snowshoing , and she also got into Nordic skiing which was right up her street. Meanwhile I enjoyed excellent downhill skiing. The downhill runs don't have the length of Alpine resorts but still good (similar to Cairngorm skiing) and worth doing with plenty of choice and high quality snow. Also flood lit skiing at night and floodlit Nordic trails.
Having always skied in the Alps, Canada,USA and Scotland I was very pleasantly suprised by Finland.