WordPress multisite can handle different top-level domains by default. Just set up a »Sub-Domain Install« multisite starting from your existent WordPress (example.no). Then, add a new site with an arbitrary subdoman (e.g. se.example.no). Right after you created the new site, got to the sites edit screen (edit site) and change the domain to what ever you want. In your case from se.example.no to example.se. (Here’s an illustrated description on how to add and change a new site: https://wordpress.stackexchange.com/a/184667/31323 )
You will also have to set the constant COOKIEDOMAIN to an empty string value in your wp-config.php
define( 'COOKIEDOMAIN', '' );
To manage the content relations between the sites there’s a plugin called »MultilingualPress« which follows the concept you described in your question: one site → one language/region.
https://wordpress.org/plugins/multilingual-press/
https://github.com/inpsyde/multilingual-press/
Disclosure:
The plugin is maintained by an organisation, I’m working at. It was a »premium plugin« but meanwhile its completely free of charge. The recommendation based on experiences I made with the plugin on my private blog.