Hello Andrei, thank you for your answer,
and sorry for my late answer, but today again I have access to this machine. 
This is likely completely unrelated to installing the NVIDIA drivers.
 
I am certain that it has to be something with the NVIDIA drivers installation, because this started immediately after installing the drivers. For over a month that the drivers were not installed, there was no problem.
 
Please provide more information about your Desktop Environment and the 
applications that exhibit this behaviour.
Any other non-Debian software on the system?
I use the GNOME Wayland. Furthermore, there are various applications that exhibit this behavior like Spotify, Skype and PyCharm. The message appears when an application launches or when it opens a new window and not while using the application, for example when browsing Spotify.
 
The output of 'id' in a terminal might provide some hints as well (feel 
free to obscure your user and group name, the interesting part is what 
other groups, if any, your user is a member of).
The output of the command says that me account is also part of a group. This is not a home setup. Can should I see particularly from 'id'?
 
Kind regards,
Andrei
-- 
http://wiki.debian.org/FAQsFromDebianUser
Kind regards,
- Thanos.