Whenever you log in, Pulse SMS will clear the messages that are currently in the app and download everything from the cloud. To pull all the recent data into your account:
- Open up the My Account section in the navigation drawer/side menu, on your phone.
- Select the Resync Messages option.
This will take you through the initial import again, and all of the messages from the internal SMS/MMS database will replace what is currently in your account.