This contribution explains how the topological methods of analysis of the electron density and related functions such as the electron localization function (ELF) and the electron localizability indicator (ELI-D) enable the theoretical characterization of various metal-metal (M-M) bonds (multiple MM bonds, dative MM bonds). Examples are taken in both bulk metals, alloys and molecular complexes. Metallic bonds as well as weak partially covalent MM interactions, are described and characterized unambiguously combining AIM (atoms in molecules) and ELF/ELI-D topological analysis.