Each new Dialog workflow is seen as a seperate entity, so you can't flow from one to the other within the same web session. The repsonse page links are different, the session ID's are different etc...
The question is - why exit the first dialog workflow at all? If you want to continue with New Employee right after whatever you are doing in the first dialog workflow, you should just add more web forms in the first dialog workflow. The onl reasn to move from one to the other is so you can assign the task to someone else.
rob