Hello,
Out of the box, Adaxes does not integrate with any third-party software. However, if the software has an API, it should be possible to send requests to it from Adaxes using scripts. Similarly, if the software has such a feature, it should be able to send requests to Adaxes using scripts or the REST API. Unfortunately, we were no able to find any documentation on BambooHR API. However, you can check with their support team.