Hi,
After almost a year working with TestComplete/TestExecute and struggling to integrate it with Jenkins I managed to do it configuring JNLP slaves and using custom batch scripts.
The problem is that TestExecute only produces its reports in MHT format that can not be integrated with Jenkins and can only be opened with Internet Explorer.
I decided to create a plugin that transformed those reports into JUnit (xUnit actually) to leverage the power of Jenkins (graphs with tendencies, history of test failures, etc.).
I ask any admin reading this permissions to integrate my plugin into official development branch, i.e.:
Fernando Miguélez