Actual process modeling formalisms allow more or less modularity, reusability and interoperability. One can thus easily imagine that process models components become mobile on a network of Process Sensitive Engineering Environments (PSEEs). Our work in this paper relies on a Workflow like process model, enriched with a precise performance model and the notion of rights to capture some facets of the actors' responsibilities in a process. To involve participants of federated process environment in a joint project, by task delegation, these tasks must be modeled in mobile process components form. The notion of process component is introduced as well as component mobility mechanisms and policies in the context of federated PSEEs. When an autonomous PSEE working in autonomy imports a process component, it can re-use the process in its own way. Additional problems arise when the same component must be imported within the collaboration framework involving several PSEEs in a joint federated project. In this case, especially when a task is to be delegated to other sites, collaboration has to be maintained between importer and exporter during the component performance. For that the recipient must have the competence to perform it, and sometimes negotiation is necessary between the exporter and importer. We propose a suitable formalism for mobility policies for process components delegation and building blocks to support these policies.