Do you have a Palm and an iPhone? Feeling adventurous? While Airmessage isn't the cleanest way to sync iMessages, it does work if you set it up correctly. You will need a Palm, iPhone, and a Mac to run your iMessage server at home.
Visit https://airmessage.org/ if you would like to try a solution for iMessage syncing on your Palm.
If you are unable to set up Airmessage, but still want to sync calls and texts between your Palm and iPhone, you can sync calls and texts on the companion Palm with Verizon's Numbershare plan, T-Mobile's DIGITS plan, or a number of other options in Other Call and Message Syncing Options.
See Tips and Tricks for iPhone Users for more information on syncing messages and other features.