This thread is resolved. Here is a description of the problem and solution.
Problem: I am using the Auto PT WordPress theme and I am not able to translate widgets.
This theme doesn't appear on the official WPML-compatible theme directory here (https://wpml.org/documentation/theme-compatibility/) and the client decided to get in touch with the developers/support department of the theme as it seems that this is a compatibility issue between the theme and WPML.
This is the technical support forum for WPML - the multilingual WordPress plugin.