In reply to flaneur: Just back from 2 weeks in the Dolomites - I had a pair of waterproof Haglofs trainers which got utterly trashed scrambling on the first two days, and then I changed to using some Inov8 Terroc 330s.
Definitely wouldn't use the Inov8s if it was raining or damp as they are basically mesh uppers and would soak straight through. Got them for under £50 in the sale last autumn so you might be able to find a similar bargain for this years model.
We mostly did route with easy path approaches, the longest was probably about an hour of walking and then two hours of dead easy VF to reach a bivi spot before climbing and walking out the next day. Complete with the weight of bivi gear, and two days food and water. It was roasting hot and I for one was pleased to have light shoes, especially compared to some of the other European walkers who had boots as heavy as Nepals on.