I am not familiar with the TI’s solution, but both BeeStack and Z-Stack are ZigBee-certified and therefore they have been proven to interoperate properly. Nevertheless, care should be taken to use the same configuration in both vendors’ devices. Parameters such as security keys, network configuration, profile version, etc. are important to achieve communication between with each other.
If you find any issues when combining both solutions please let us know here so we could give you further recommendations and help you in the process.