Business processes in WS-BPEL are a manifestation of the two-level-programming paradigm where remote-accessible Web services are composed to potentially complex orchestrations. WSBPEL processes are executed by Workflow Management Systems that navigate through the process' activities and interact with the orchestrated services. While Web service technology enables interactions with remote services, process navigation is typically done in a centralized manner. Especially in scenarios of complex interactions between multiple distributed process participants, this way of process enactment has several drawbacks. In this paper, we outline those drawbacks and propose an alternative approach to execution of BPEL processes in a distributed, decentralized manner.