Today, it has become fruitless, reducing the role of the university to its sole mission of education. Undoubtedly, a university is a source of knowledge that acts as an incubator for creativity and innovation; however, more light should be shed on how universities help create a vibrant economy by providing employment opportunities, promoting highquality research, and stimulating investment. In this work, we focus on displaying a new adaptable trinity formula that places the university, with all its missions, in the heart of an attractive territory. It is in this vein that we study the importance of well-choosing the remaining territorial components to be part of the trivium formula. The main aim of the current premise is to highlight the significance of adjusting territorial innovation models, such as business ecosystems of innovation and triple helix models of innovation, in accordance with the weight of keystone components of territory and how they participate in its attractiveness, all of which are orchestrated by universities. The importance of this topic lies in recognizing the potential of universities as accelerators for territorial advancement, including their role in achieving the Sustainable Development Goals, by acknowledging their many distinct contributions to fostering innovation and protecting the environment. Adopting the trivium formula means providing a blueprint that encourages fortifying links within a territory’s components, thus enhancing relations between universities and other pieces of the territorial development puzzle we built this work upon as a method to understand innovative territories, from green innovation to industrial intelligence.