  Unconventional superconductivity in the Chevrel phase offers a wide
structural aspect to understand the superconducting ground state. A detailed
investigation on the superconducting properties of Re based pseudobinary
telluride Chevrel phase Mo$_4$Re$_2$Te$_8$ is reported. It crystallizes in a
trigonal structure with the space group $R\bar{3}H$ having superconducting
transition temperature at $T_C$ = 3.26(3) K. Specific heat measurements
suggests a fully gapped superconducting state; however, the proximity of upper
critical field value from the Pauli limiting field can be attributed to
unconventional nature.
