Cross-organizational workflow management deals with the need for transparent and controlled process automation across organizational boundaries. Cooperation between manufacturers and suppliers in the field of engineering requires coupling of parallel workflows of autonomous organization units. So far, several approaches with different architectures exist but they address this field of application differently. This paper presents some requirements of cross-organizational workflow management in the engineering domain by using an application scenario. Existing research approaches are classified distinguishing used specification schemata and expressiveness concerning cross-workflow dependencies. We describe a new approach in a class that matches the presented requirements.