EXTREMA (short for Engineering Extremely Rare Events in Astrodynamics for Deep-Space Missions in Autonomy) enables self-driving spacecraft, challenging the current paradigm under which spacecraft are piloted in the interplanetary space. Deep-space guidance, navigation, and control applied in a complex scenario is the subject of EXTREMA, which wants to engineer ballistic capture in a totally autonomous fashion. EXTREMA is erected on three pillars. Pillar 1 is on autonomous navigation. Pillar 2 involves autonomous guidance and control. Pillar 3 deals with autonomous ballistic capture. The outcomes from each one of the three pillars is validated with a tailored experiment featuring the model of the associated CubeSat subsystems. Integrated experiments involving all the components of a CubeSat GNC system are carried on in the EXTREMA Simulation Hub, an integrated facility simulating an interplanetary transfer with a hardware-in-the-loop setup. The project has been awarded a European Research Council (ERC) Consolidator Grant in 2019. This upload contains the reviewed versions of the slides presented at the EXTREMA Final Workshop, held on 10–11 November 2025 at Politecnico di Milano. In certain presentations, a set of references/publications is provided at the end.For additional information about the EXTREMA project visit the page extrema.polimi.it.