In the Tiger Dial -> List -> Blacklist section you can manage the Contacts of your Blacklist.
None of the Tiger Dial Processes will call the phone numbers present in the blacklist (the contact is closed for all the present and future processes).
To add a contact in the Blacklist click on the New Blacklist contact button, type the Name and Phone number, and click on Save Changes.
You can see all your blacklisted contact in the following table, where you can edit or delete them:
Also the Agents can add a contact in the Blacklist, when necessary, using the xCALLY Phone Bar Disposal Popup described in the Agent Settings and Disposal section.