I don't mean to use a tent, just a mat + a sleeping bag, or possibly a bivy sack if the weather is foul.
2 Answers
Yes it is, but only for one night in any single spot. Staying multiple nights is considered camping and is not allowed.
It is never allowed in national parks.
I could only find Dutch references for this, but they all say the same and refer to relevant text in the Austrian lawbooks.
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4I once had a fine for that that was 200 Euros or so. Mind you, that was a pretty stupid move -- I had slept aside a fresh water reservoir that was used for drinking water for the surrounding towns, and there were more "no camping!" signs than trees there...(it was in the middle of the night, and we were exhausted, and the water at night looked real nice...). Point is, it can be a painfully large amount. Commented Aug 27, 2012 at 14:47
tl;dr
What you describe is absolutely allowed (using a bivouac to spend one night).
If you set up a small camp (described as a "planned bivouac" further in this text), you shouldn't be in a protected area.
Bivouac
Sleeping one night without a tent or a small igloo.
An emergency bivouac is basically allowed everywhere. A planned bivouac is normally tolerated as long as it isn't set up in a protected area (official German term is "Schutzgebiet"). It's explicitly prohibited in such regions (ask the administration of these areas for further information).
Camping
Spending one or more nights in a small tent apart from official camping sites.
Protected areas (official German term "Schutzgebiete")
In protected areas camping is generally prohibited. You may ask the administration of the area or of the local commune for an exception. This works surprisingly often.
To check the protected areas of the alps, you can go to www.alparc.org.
In the woods
Camping in the forest is generally prohibited in Germany, Austria, Italy and Switzerland. You've to be permitted by the particular landowner (ask the commune administration).
The detailed regulations differ from state to state in Austria.
Cooking
You should use a safe camping stove to cook. Open fire is prohibited in protected areas (official German term "Schutzgebiete") and in the forest.
Detailed regulations are very different from region to region.
References
- http://www.alpenverein.de/chameleon/public/1677/zelten_und_biwakieren_in_den_bergen_16779.pdf
- http://www.oeav.at/portal/Service/Downloads/Rechtsfragen/Zelten_und_Biwakieren_in_Oesterreichs_Bergen_HP_2010.pdf
- http://www.alpenverein.at/portal/Service/Downloads/Rechtsfragen/Zelten_und_Biwakieren_in_Oesterreichs_Bergen_HP_2010.pdf
- www.alparc.org