A Radiative Collector and Emitter (RCE) is a device which combines solar collection and radiative cooling functionalities to provide both heat and cold from renewable sources. In solar collection mode, fluids are heated up using the incoming solar radiation. In radiative cooling mode, it takes advantage of the atmospheric window transparency to dissipate infrared radiation towards the outer space at nights, allowing to cool down fluids circulating through it. However, the heat production of the RCE is about 10 times higher than the cold production, and the cold water can only be produced a few degrees below ambient temperature (4-8 ºC). An evolution of the RCE, the adaptive RCE (ad-RCE) is capable to adapt its behaviour to the energy requirements, producing either heat or cold during daytime, as well as cold during night-time. To further enhance the cooling potential, we suggest coupling the ad-RCE with a compression heat pump (HP) that utilizes the cold produced by the ad-RCE as a heat sink for the condenser. In this study, we numerically estimate the performance of a water-to-water compression heat pump coupled with an ad-RCE. Our results indicate a yearly average improvement of the coefficient of performance (COP) of 3.89%, which translates to an annual electricity savings of 3.70%.