An immiscible liquids separation apparatus (50) comprising: a vessel comprising a first separation chamber (66) and second separation chamber (72) being in first fluid communication with the first separation chamber (66), the first separation chamber (66) being situated above the second separation chamber (72); an inlet (52) arranged at the first separation chamber (66) to allow a liquid to flow into the vessel; a low-density liquid outlet (78) arranged on the second separation chamber (72) to allow low-density liquid separated from the liquid to be removed therefrom; and a high-density liquid outlet (60) arranged at the vessel to allow high-density liquid separated from the liquid to flow out of the vessel, and a corresponding method.