For many decades, manufacturers and service technicians relied on tabulated and graphical presentations of refrigerant properties and expected equipment performance. One of their favorite tools was the pressure-enthalpy diagram which defines the thermodynamic properties for the refrigerant in use and the performance of equipment. If the liquid is at the boiling point, but just hasn't begun to boil, it is defined as saturated liquid. Adding any heat to this liquid will vaporize a portion of it. Adding more heat to the liquid-vapor mixture eventually evaporates all of the liquid.
Superheated vapors can be cold.
They are simply above their corresponding saturated vapor point. Similarly, subcooled liquid can be fairly warm. It just means that the liquid is cooler than the saturation line for that pressure. The typical refrigeration cycle is shown superimposed on this chart, along with pictures of the typical equipment components associated with that step in the cycle. The compressor elevates the refrigerant's pressure to a point at which it can push the discharge valve open and flow to in the condenser.