Combined space and water heating systems (combis) use a single gas-fired appliance to cover both the domestic hot water as well as space heating demand in residential applications. While this technology has existed in different forms for decades, only recently has interest in the approach begun to grow again. Emergence of high efficiency, i.e., "tight", homes and the availability of high capacity tankless water heaters, make combi systems based on the latter potentially very effective at reducing the overall consumption of fossil fuels in such dwellings. Over the past ten years, extensive data on the performance of combi systems, both in the field and in the lab has been collected. This work focused on utilizing performance data and simple thermodynamic models for tankless combis to predict their energy use with tools like EnergyPlus. Current capabilities and limitations are discussed, as well as possible sources of uncertainty.