The next generation of particle physics experiments, such as Future Circular Collider (FCC) and the Circular Electron-Positron Collider (CEPC), will require advanced detectors suitable for a broad range of high-precision measurements. Among these, we can mention studies of the production and decay channels of the Higgs boson, heavy-flavour physics and searches for processes beyond the Standard Model. From the calorimeter standpoint, the benchmark requests are the capability to resolve the hadronic decays of the Z and W bosons based on the invariant mass of the two jets, and precise tagging of heavy flavour object decays. The separation of Z and W bosons, which would prove essential in the identification of Higgs-related processes, entails a resolution for hadronic jets that has never been reached by detectors operating on running colliders. Dual-readout calorimeters have been designed explicitly for excellent energy resolution: the fibre-based design also enables high-granularity capabilities, and thus advanced software reconstruction techniques, through independent SiPM readout of each fibre. In this contribution, the experimental challenges on future detector calorimeters are addressed, and the dual-readout calorimetry technique is briefly illustrated. Remarkable effort was put on the development of prototypes, to demonstrate the feasibility of SiPM readout and the accessibility of expected physics performances required at future collider facilities. The construction technique of a currently under development prototype, designed for hadron shower containment, is illustrated, together with Geant4 simulation-based results.