Best way to send a sub-sub component a message

I have for my webapplication a hierarchy like this

               SubSubcomponent
                   <include>
               SubComp
                   <include>
Container1                    Container2          

So two main pages (Container1 and 2) have a subcomponent (e.g. a header)
which does include a subcomponent itself.
Now there shall be a distinction in SubSubComponent, if it was called from
the first or the second Container page. If I see it right, I can not 
pass an argument
in the .wod-File from the Containers to SubSubcomponent, because it is only
indirectly included (via Subcomponent).
What is the best way to pass a message from the active container to the 
Sub-
Subcomponent?

Thx in advance!