Ok, WPML support told me, that this is not possible at the moment. Are they right? Because when it is, you should add this exception to your feature list, because the part
“Types is the only custom fields and post types plugin that’s built multilingual-ready. It plays perfectly with WPML. You’ll be able to translate everything, including texts and labels in the WordPress admin and user-content for front-page.”
is not correct then…