Embodiments of the invention include a method and a device for increasing blood flow and controlling the temperature of a mammal by applying a desired pressure to extremities of a mammal. The device generally includes a pliant body element that is adapted to receive a portion of an extremity of the mammal therein, and then apply a pressure to a portion of the extremity when a pressure is provided to a region in which the extremity is positioned within the pliant body element. By evacuating the region in which the extremity is enclosed, a contact surface area between the extremity of a mammal and the pliant body element is increased, due to the external atmospheric pressure acting on the pliant body element against the skin of the extremity of the mammal. The application of pressure assures that sufficient contact and thermal heat transfer (heating or cooling) is provided to the extremity of the mammal.