Please download the file below and add it to the root folder of Integral Pro theme (same location as the style.css file)
https://www.dropbox.com/s/zwob85mrrs9ghlc/wpml-config.xml?dl=0
Then open up /inc/options.php and edit line 58.
CHANGE:
'opt_name' => $opt_name,
TO:
'opt_name' => 'integral-theme-options',
Now you can translate your admin texts via WPML interface under WPML – String Translation.
If this does not work, please let me know.
Also, can you send me a copy of your version of the WPML plugin in zip format?