  Both superconductivity and thermoelectricity offer promising prospects for
daily energy efficiency applications. The advancements of thermoelectric
materials have led to the huge improvement of the thermoelectric figure of
merit in the past decade. By applying pressure on a highly efficient
thermoelectric material Cu$_{3}$Sb$_{0.98}$Al$_{0.02}$Se$_4$, we achieve
dome-shape superconductivity developing at around 8.5 GPa but having a maximum
critical temperature of 3.2 K at pressure of 12.7 GPa. The novel superconductor
is realized through the first-order structural transformation from its initial
phase to an orthorhombic one. The superconducting phase is determined in the
ultimate formation of the Cu-Al-Sb-Se alloy.
