In ASM you can have offline conversations with the user using the "Add Note" capability.
This capability is applicable to ASM HERMES and above.
Please see the following video for a demonstration of the conversation widget:
View the history of the ticket by clicking the quick link for history, or by scrolling to the bottom of the ticket and clicking the History tab.
Click Add a Note from the quick link menu and add a note and/or attachments for the user.
You must check the "Visible in Self-Service Portal" box for the note to be available to the conversation widget.