A heat exchange module alone or part of a system including a control console. The HEM can include a channel enclosure assembly, a thermoelectric cooler (TEC) assembly and a heat transfer (cover) assembly. The enclosure assembly includes a channel for a heat-transfer liquid. The module can be constructed to provide for flexibility to better conform and fit on rounded and/or angular body parts and to efficiently transfer heat between the adjacent body part and the heat-transfer liquid via the TECs of the TEC assembly.