The digital paradigm brings changes to markets and organizations need to adapt their strategy to survive. With a focus on achieving competitive advantage, companies must be aware of activities that add value, visualizing and analysing processes in a detailed way. Digitalization is an important concept when it comes to controlling the effectiveness and efficiency of processes, so companies are converting them in a technological dematerialized way. In this digital journey, business process management methods can be used to support the identification of sources of waste in processes and lean management can be applied to eliminate this waste.  This paper describes a Portuguese case study where a company from the construction sector applies Business Process Management (more concretely the BPMN 2.0) to support the digitalization of one of the pillars of World Class Manufacturing, Cost Deployment, preserving the Lean Management philosophy that was already pursued by the company. The paper presents two models, the as-is model (process without a technological tool) and the to-be model (process with a technological tool) concerning the Cost Deployment process of the company under study, thereby reducing waste.