When I receive an outside call to one of my extensions, calling number is displayed. However, when I receive call from one of the extensions, I can see a name of that extension.
Now I am wondering, is it possible to import my phone directory to the FreePBX (I have a .vcf file), and when I will receive a call from outside numbers, that name would be displayed on my extension?
You can add it to the Asterisk phonebook (note this is depreciated and will be removed at some version in the future) or contact manager and then turn on superfecta lookup on the inbound route and it should override the caller info with what you have. I do not know if vfc is supported.