After reinstalling from scratch on the SSD, I had some issues to get Picasa 3.9 up again:

Library mscms.dll (which is needed by 
LC:\\Program Files\\Picasa3\\Picasa3.exe) not found

Some search were pointing to installing the lib32-lcms package which does not exist (anymore?). All I had to do was to install libwine-cms:i386. At least that works on Debian testing.