This talk outlines my recently finished book ms. Combining conceptual reflections with a historiographic state of the art, the book bears on relations across empires around the modern world, from Africa and Asia to Europe and the Americas. Covering both societal and governmental actors, and arguing that power differences and their negotiations are central to transimperial relations, the work presents a overall framework for doing modern transimperial history, its chapters covering Foundations, Facets, Comparison, Power, Spaces, Times, and Methods.