Dual-Readout calorimetry is a promising new technique for high precision measurements of hadronic showers and jets. The DREAM Collaboration is exploiting the possibilities offered by this technique, a key aspect of which is the simultaneous measurement of the scintillation light and the Cerenkov light generated in the shower development process. By comparing these two signals, the electromagnetic shower fraction can be measured event by event, eliminating the effects of its fluctuations, that are the dominant contribution to the hadronic energy resolution. In the first detector of this type the two signals were provided by two independent active media: scintillating fibers and quartz fibers. In follow-up studies, we have explored the possibilities of heavy crystals such as BGO and PbWO4. The use of homogeneous detectors has the advantage that it eliminates the effects of fluctuations that limit the resolution of the fiber calorimeter: sampling fluctuations and quantum fluctuations in the Cerenkov signals. A very important tool turnes out to be a detailed measurement of the time structure of the signals. In this paper, the latest results of this project will be presented.