Thanks for the tip, but it didn't work.You can try choosing a different profile e.g. DT_Croatia, not really sure if there is any specific for Slovenia, I could not find any in entire list.
Alternatively you may try edit "overideconfig" file by adding below lines:
[SIPConfig:FeatureFlags]
*IsImsiNeededForContactHeader = 0
It can be accessed with EFS Explorer in QPST.
Once your phone has been connected, you search for a folder "efsprofiles" where the file "overrideconfig" is located.
Drag it to your local folder, edit with Notepad C++ and drag it back to EFS Explorer.
This should resolve the lack of caller ID
Tried few other profiles - if Vowifi works, caller ID dissapears (ie Netherlands-Volte-Vodafone)