Not quite and this is where the terminology can get a bit muddled
When creating a "master project" you can insert a subproject in its
entirety into the master project. (Insert > Project). By default, the
inserted project is embedded and is linked to the subproject. In the
indicator column there is an icon next to the subproject Project
Summary line showing the name and path of the embedded project. In
those kinds of master projects, because the tasks showing in the
master are linked to the subproject, changes made to the tasks in the
master file will automatically update the subproject tasks and changes
made to the subproject tasks will show in the master. So, if the data
in the task in the subproject is changed, the master is also changed.
If you show the Project Summary task in the master, the % complete,
actual, remaining durations etc. will be updated.
From what I understand from your brief explanation, you have a task in
your "master project" whose schedule is driving a successor task in
the subproject? The external successor's progress will show on the
external successor task but I don't believe it will impact the master
project's summary level task progress.
I hope this is a bit clearer. Please let me know if you have any
further questions.
Julie