[Plugin: WordPress Mobile Pack] little problem with WPML widget and WP Super cache

Great Plugin Folks!

Just a little problem with the language selector widget of WPML.
I abilitate the widget but it doesn’t work if I have also abilitate Super Cache. On the contrary, if I switch off Super Cache I have the possibility to use the widget in the mobile site view.
I have of course abilitate the mod_rewrite to serve cache files (see below configuration).
Any suggestion?
Thanks
Paolo

# BEGIN WPSuperCache
<IfModule mod_rewrite.c>
RewriteEngine On
RewriteBase /
AddDefaultCharset UTF-8
RewriteCond %{REQUEST_URI} !^.*[^/]$
RewriteCond %{REQUEST_URI} !^.*//.*$
RewriteCond %{REQUEST_METHOD} !POST
RewriteCond %{QUERY_STRING} !.*=.*
RewriteCond %{HTTP:Cookie} !^.*(comment_author_|wordpress_logged_in|wp-postpass_).*$
RewriteCond %{HTTP:X-Wap-Profile} !^[a-z0-9\”]+ [NC]
RewriteCond %{HTTP:Profile} !^[a-z0-9\”]+ [NC]
RewriteCond %{HTTP_USER_AGENT} !^.*(android|blackberry|hiptop|ipod|lge\ vx|midp|maemo|mmp|netfront|nintendo\ DS|novarra|openweb|opera\ mobi|opera\ mini|palm|psp|phone|smartphone|symbian|up.browser|up.link|wap|windows\ ce).* [NC]
RewriteCond %{HTTP_user_agent} !^(w3c\ |w3c-|acs-|alav|alca|amoi|audi|avan|benq|bird|blac|blaz|brew|cell|cldc|cmd-|dang|doco|eric|hipt|htc_|inno|ipaq|ipod|jigs|kddi|keji|leno|lg-c|lg-d|lg-g|lge-|lg/u|maui|maxo|midp|mits|mmef|mobi|mot-|moto|mwbp|nec-|newt|noki|palm|pana|pant|phil|play|port|prox|qwap|sage|sams|sany|sch-|sec-|send|seri|sgh-|shar|sie-|siem|smal|smar|sony|sph-|symb|t-mo|teli|tim-|tosh|tsm-|upg1|upsi|vk-v|voda|wap-|wapa|wapi|wapp|wapr|webc|winw|winw|xda\ |xda-).* [NC]
RewriteCond %{HTTP:Accept-Encoding} gzip
RewriteCond %{DOCUMENT_ROOT}/home/content/47/5623947/html/wp-content/cache/supercache/%{HTTP_HOST}/$1/index.html.gz -f
RewriteRule ^(.*) “/home/content/47/5623947/html/wp-content/cache/supercache/%{HTTP_HOST}/$1/index.html.gz” [L]

RewriteCond %{REQUEST_URI} !^.*[^/]$
RewriteCond %{REQUEST_URI} !^.*//.*$
RewriteCond %{REQUEST_METHOD} !POST
RewriteCond %{QUERY_STRING} !.*=.*
RewriteCond %{HTTP:Cookie} !^.*(comment_author_|wordpress_logged_in|wp-postpass_).*$
RewriteCond %{HTTP:X-Wap-Profile} !^[a-z0-9\”]+ [NC]
RewriteCond %{HTTP:Profile} !^[a-z0-9\”]+ [NC]
RewriteCond %{HTTP_USER_AGENT} !^.*(android|blackberry|hiptop|ipod|lge\ vx|midp|maemo|mmp|netfront|nintendo\ DS|novarra|openweb|opera\ mobi|opera\ mini|palm|psp|phone|smartphone|symbian|up.browser|up.link|wap|windows\ ce).* [NC]
RewriteCond %{HTTP_user_agent} !^(w3c\ |w3c-|acs-|alav|alca|amoi|audi|avan|benq|bird|blac|blaz|brew|cell|cldc|cmd-|dang|doco|eric|hipt|htc_|inno|ipaq|ipod|jigs|kddi|keji|leno|lg-c|lg-d|lg-g|lge-|lg/u|maui|maxo|midp|mits|mmef|mobi|mot-|moto|mwbp|nec-|newt|noki|palm|pana|pant|phil|play|port|prox|qwap|sage|sams|sany|sch-|sec-|send|seri|sgh-|shar|sie-|siem|smal|smar|sony|sph-|symb|t-mo|teli|tim-|tosh|tsm-|upg1|upsi|vk-v|voda|wap-|wapa|wapi|wapp|wapr|webc|winw|winw|xda\ |xda-).* [NC]
RewriteCond %{DOCUMENT_ROOT}/home/content/47/5623947/html/wp-content/cache/supercache/%{HTTP_HOST}/$1/index.html -f
RewriteRule ^(.*) “/home/content/47/5623947/html/wp-content/cache/supercache/%{HTTP_HOST}/$1/index.html” [L]
</IfModule>
# END WPSuperCache
Rules must be added to /home/content/47/5623947/html/wp-content/cache/.htaccess too:

# BEGIN supercache
<IfModule mod_mime.c>
<FilesMatch “\.html\.gz$”>
ForceType text/html
FileETag None
</FilesMatch>
AddEncoding gzip .gz
AddType text/html .gz
</IfModule>
<IfModule mod_deflate.c>
SetEnvIfNoCase Request_URI \.gz$ no-gzip
</IfModule>
<IfModule mod_headers.c>
Header set Vary “Accept-Encoding, Cookie”
Header set Cache-Control ‘max-age=300, must-revalidate’
</IfModule>
<IfModule mod_expires.c>
ExpiresActive On
ExpiresByType text/html A300
</IfModule>
# END supercache