The widespread acceptance of SOA, as an architectural style to build solutions by composing loosely coupled, interoperable, distributed services, having separate concerns into solutions is promoting modeling of cross-organizations business processes (BPs). In these BPs, different participants from different organizations would like to participate and get involved in a collaboration to achieve a common goal. Meanwhile, Web Service Choreography Description Language (WS-CDL) is an XML-based language for describing peer-to-peer collaborations by defining from a neutral perspective their collaborative observable behavior. It defines a set of ordered message exchanges that accomplish a common business goal. Yet, this language lacks a standardized graphical description that would ease the understanding of the collaborative behavior, where different types of stakeholders need to communicate the collaboration. Our approach in this paper is to investigate the WS-CDL language and propose a graphical description by utilizing UML models.