You can sync your PrivateMail account calendar and contacts with your mobile device using the WebDAV protocol.
To Sync your calendar and contacts on Android first download the Aurora Contacts & Calendars app.
Open the Contacts & Calendar app and enter the following settings:
URL: mail.privatemail.com
Username: Your PrivateMail username
Password: Your PrivateMail password
Then click Login
Finally select the frequency for auto sync and select what contact groups and calendar info you want synced: