Your entire communication history with the people you communicate with using Hubgets Page is in one place. All Hubgets Page conversations are archived, you can search and tag them.
I have inserted a print screen below to show where you can locate your Direct Messages with visitors (Customer messages).
If you need to record phone conversations, this feature is available starting with Hubgets Team plan. A more detailed reading on the best use of Hubgets Page is available here: Introducing Hubgets Page: Your Interactive Business Card
Hope this hepls!