As a proactive reaction to current ineffective collaboration strategies, this study sought to combine the capabilities of Building Information Modelling (BIM) in the Design for Manufacturing and Assembly (DfMA) method with mass customisation into a framework that enables customers to participate in the offsite construction configuration process. This approach engenders greater customer satisfaction whilst increasing production and construction efficiency. A model capable of facilitating the use of construction information in the proposed framework was developed to implement the proposed framework into practice. Combining the BIM model within the framework provides all project stakeholders with prerequisite information needed for a building's configuration. This collaborative process utilises an algorithmic composition in which the current assembly information in both the BIM model and framework is used as a controlling factor in the configuration process. The parametric environment of Revit and the algorithmic environment of the Dynamo plugin were used to realise the proposed framework (as a proof of concept).