The document outlines the importance of time metrology for satellite navigation systems, emphasizing the need for accurate and synchronized clocks in both ground and space environments. It describes various research activities at the Istituto Nazionale di Ricerca Metrologica (INRIM) related to atomic clocks, synchronization algorithms, and the development of time standards for applications in Galileo and GNSS. Additionally, it highlights collaborative efforts and specific projects aimed at enhancing the precision of timekeeping systems for satellite navigation.