In reply to petre:
Yeah you'll definitely get 3-4 days worth of that in La Gouille, above the road tunnels and near Arolla itself, until the middle of March I would guess (but can't promise!) If conditions are good the climbs around Evolène will be in too, which offers more variety. Good bus connections to get up and down the valley. A day's skiing at Arolla is fairly reasonably priced too, unlikely to be busy and better than you might expect. Have a look on camptocamp or message me directly if you need more specific advice.
Edit to say: at the weekends the Arolla icefalls get very popular with beginner groups, but you'll always find something to climb
Post edited at 20:18