Overall, the boundaries between sDFT/FDE and other subsystem and embedding methods become have become more blurry in recent years. A broader comparison of general embedding and fragmentation approaches is presented in Ref. . Sun and Chan provided a comparative overview over density, Green's function, and density-matrix embedding theories , and a broader perspective on both QM/MM and QM/QM embedding methods, including density-based ones, has been provided by Jones et al. . In this Update, we review recent developments in the field of density-based subsystem and embedding methods. Here, we start from the perspective of sDFT/FDE and discuss work that was been published in the past decade along different lines (for an overview, see Fig. ).