How to ignore certian domain names from tracking?

I just discovered that site overlay tool users (expect Piwik’s own implementation) are tracked as normal visitors (see attached screenshot). If you’re saying this is a (technically) normal visitor, you’re propably right because it’s embedded within an frame. BUT this are not those kind of visitors I’d like to track.

Is there a Piwik way to ignore - let us say - all domain names NOT listed within site domains I have setup in Piwik?

This is not possible (yet) but there is a ticket: New website setting: Only track visits and actions when the action URL starts with one of the above URLs · Issue #588 · matomo-org/matomo · GitHub

you can setup visitors to be excluded using the useragent exclude (in Settings > Websites)