This paper studies the relationship between Lean paradigms and the Physical Internet (PI). Lean thinking is a philosophy that allows one to obtain the right amount of the right items in the right place at the right time; it seeks to minimize waste and is flexible to change. In fact, applying Lean not only helps to reduce costs, but it also adds value and improves results across the supply chain. By using a value stream map, we can map the process from the supply chain to the customer, while trying not to add value activities. Such activities include excessive production, overstorage, waiting times poorly adjusted to needs, defects and rejects that require reprocessing, and, finally, unnecessary transport and movements. Storage, waiting times, and unnecessary transport and movements are at the core of the PI. A value stream map can also help to identify empty transport and unnecessary CO2 emissions. This study analyzes value stream mapping as a tool that can enable the objectives of the different Alliance for Logistics Innovation through Collaboration (ALICE) roadmaps for logistics innovation to be achieved, and can also allow PI principles to be reached on the established dates.