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The development of composite systems of multiferroic or magnetoelectric materials made from magnetic and ferroelectric subsystems has attracted interest as well as increased a large number of research activities. Multiferroics have found a special place in various technological applications based on novel multifunctional devices, like multi-state memories, spintronics, sensors, and transducers. Single phase multiferroics are rare and the coupling between various ferroic orders is either weak or occurs at low temperatures in these materials. The composite multiferroic materials, however, combine both ferroelectric and ferromagnetic phases and show a giant magnetoelectric effect even at high temperatures that are well above room temperature. In this view, various bulk composites have been studied and developed both experimentally and theoretically. Also, the high demand for on-chip integration in electronic and memory devices has accelerated the development of nanostructured ferroelectric and magnetic oxide materials in the form of thin films. With a high-quality thin film, it becomes easy to tailor the properties by epitaxial strain and interfacial coupling. This chapter will take the reader through the journey of evolution of multiferroic materials starting from the bulk form to nanostructures and thin films.