An apparatus with some embodiments is described having cooling capabilities for a computing device. In some embodiments, the apparatus may include a thermoelectric component (TEC) to transfer thermal energy with a first heat exchanger, through a heat attach and heat pipe, to or from the TEC, and then with a second heat exchanger. In some embodiments, the apparatus may include a second heat attach and a second heat pipe between the second heat exchanger and the TEC. Furthermore, in some embodiments, the apparatus may be at a docking station, where the docking station may connect with the computing device. Other embodiments are described.