The present invention relates to a method for controlling a cooking process by using a liquid in a cooking vessel, for example a cooking pot, upon a cooking hob (20). The method comprises a step of determining a cooking parameter of the liquid in the cooking vessel at a predetermined time (tB, tBP), a step of adjusting a heating power density (P) of a cooking zone of the cooking hob (20) for transferring a heating power (P) to the cooking vessel placed on the cooking zone; and a step of reducing the heating power density (P) transferred to the cooking vessel from an initial power (iP) to a simmering power (PS). Further, the present invention relates to a cooking vessel for the cooking hob (20). Moreover, the present invention relates to a cooking appliance for performing the cooking process.