Nowadays, organisations tend to do more business online by enabling their business processes to interact with customers, suppliers, etc., via different online channels. On the other hand, their core business processes, such as production, engineering, etc., may still stay inside the organisation. As a consequence, this makes an organisation rely on the collaboration between these two types of business processes to conduct its business, and this collaboration brings issues like multiple instance correlation, process view, and process evolution, to the business process management (BPM) of the organisation. This paper reports our research in progress on these issues. It firstly identifies the requirements to fully support such collaboration, and then presents a framework to illustrate how the collaboration can be facilitated using latest BPM technologies. This framework provides a reference architecture to incorporating online interfacing and internal core business processes.