the GoF book and many places in the internet suggest the pattern Composite cam be often used with the pattern Decorator. This seems quite a natural choice as they complement each other pretty well.
By the way, it would be really interesting if somebody could provide a practical example of the two patterns used together.
Moreover: does it make sense to have a composite decorator (i.e. a decorator which is a composition of objects) or shall we refer to decoration of composite objects?
Thanks in advance