My watch will not receive texts if out of bluetooth range from phone. It will receive phone calls
From Best Buy FAQ
Can you receive and reply to text messages?
Best answer: Yes, you can receive and reply to text messages. The watch must be connected to a phone through Bluetooth and the Galaxy Wearable app.
Hello, Klue. We are very sorry to hear about the text messaging issue you are experiencing when your smartwatch is out of range from your Bluetooth. We will be more than happy to go through some steps to make sure that this is resolved in the end. How long has this been happening? What is the make and model of the Samsung Galaxy Smartwatch that you have? Have you been able to use text messaging on this device without the aid of Bluetooth in the past? BrettA_VZW