This thread is resolved. Here is a description of the problem and solution.
Problem: Is there a way to reuse translations in other websites?
Solution: If you want to save and reuse some of your string translations for other projects, you should save them in a po file. You can manually create this po file with all the strings and their translations and then save it to a mo formatted file to use in your site (uploading it in your theme directory for example), of you can also use WPML>String Translation to export and import the translations from/to po files.
Here's more information about WordPress localization: https://codex.wordpress.org/I18n_for_WordPress_Developers#POT_files
An about String Translation: https://wpml.org/documentation/getting-started-guide/string-translation/
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