Synchronising an automated test script executed on different servers

Hello,

We are looking for an automated testing solution that would be compatible with our current IT infrastructure. Just to briefly explain, we have TestComplete installed on a local server to run tests for Mobile applications as we need to have direct access to the server to plug the mobile devices. However, some test scripts involve using Desktop applications that are installed on a remote server (without TestComplete).
Therefore, we are looking for a way to run the same automated tests on two different servers in an integrated manner. We would like to know if it is possible to do that, maybe with an add-on (TesExecute?), knowing that it is crucial that the tests on both servers can be executed in a coordinated way. That is, for example, to be able to run the start of a script on a remote server and integrate it within the following steps that would be executed on the local server.

Many thanks for your assistance.