In today's evolving world, On-demand Business intelligence (BI) has been sparked as a potential solution providing companies of all sizes a new approach to meet dynamic business needs. Especially, in on-demand BI, all the components needed are integrated and hosted behind the scenes in what is termed a "software-as-a-service" offering. To be successful, business process interoperability has become high priority to provide an efficient support for the whole process of on-demand BI deployment. In this context, the main contribution of this paper is to provide a survey on the state of the art towards business process interoperability in the on-demand environments. Specifically, this paper also aims at a discussion of significant practices provided in the literature along the dimensions of interoperability, flexibility and adaptability. On this basis, some of the challenges that current approaches may face and potential solution that can meet the adaptability and interoperability requirements of ondemand business processes can be highlighted.