In reply to David@Sheffield:
It seems that there is no climbing in Austria east of Tyrol... There is.
Around Salzburg, head for Untersberg, Göll, Tennengebirge or Hochkönig to find perfect limestone both bolted and trad. Getting further East, Dachstein and Gesäuse provide long classic multipitch routes that may be wilder in atmosphere than some areas in the west, faces up to 800/1000 meters and in many cases real adventures on good rock.
Bergsteigen.com is a good starting point. As ar some of the hut pages on the web.