Purpose The purpose of this paper is to focus on the implementation of an ambidexterity strategy in a large Italian Company that works in the energy field. The aim of the study is to understand how contextual ambidexterity has been achieved during a business process management (BPM) approach by describing the main variables that interacted during the project implementation. Design/methodology/approach The authors based their study both on primary (direct observation and interviews) and secondary (company manuals, books and procedures) qualitative investigations of BPM approach based on three business process re-engineering (BPR) projects and nine total quality management (TQM) projects, focused on change team behaviors, dynamics and dialogues. Findings The authors observed that the implementation of simultaneously radical and incremental change projects has been influenced by the exploration and exploitation activities related to every single TQM and BPR project considered. The findings suggest that the overall project has been influenced by four main underlying variables, which are task specialization and systems interoperability (knowledge transfer), identity and leadership (knowledge conversion) and two output variables (ambiguity and feedback to change), that, by interacting, enable ambidexterity. Practical implications Managers need to be cognizant and aware both of the BPM techniques, in order to sustain ambidexterity, and of ambiguity and change feedback as variables that enable the effective connection of the different steps of innovation or refinement strategy and, therefore, of ambidexterity. Moreover, the contextual factors such as leadership and people identity should be considered and managed as important variables related to change. Originality/value The originality of this paper is related to improving the understanding of how to implement the theoretical concept of ambidexterity in a real world organization, by providing new evidence that highlights the importance of contextual ambidexterity within a structural ambidexterity strategy during a BPM project.