Problem solved.
Now I have other 2 issues.
1) If I add the translations for a certain string in WPML translations show up for the next 10 minutes, each language division has his own and everything seems fine.
After 10 minutes if I jump back to the page only the EN one it is showing, all others are gone.
2) the other issue it is related to woocommerce as the quantity field seems it is broken, something it is wrong with it and no additional css rules written by me or the previous webmaster are clashing with it. An example: http://www.ambasciatoregusto.com/prodotto/olio-extra-vergine-doliva-bio/