Abstract: Glass-forming die, such as a parsain-forming or bottle-forming die, includes a die body having a molding surface with a curved contour to form at least a portion of a glass bottle or other article to be made. The die body has one or more cooling passages inside the body wherein the cooling passages is/are non-linear (non-straight) along at least a portion of their length to improve temperature control of the die during the glass forming operation. To this end, the cooling passages are curved in a manner to generally follow the curved contour along at least a portion of the length of the curved contour, and may include heat radiating or turbulating elements in the cooling passage. The glass-forming die alternately, or in addition, can include integral cooling fins, ribs or other heat radiating element on one or more exterior regions of the die.