  The superconducting systems emerging from topological insulators upon metal
ion intercalation or application of high pressure are ideal for investigation
of possible topological superconductivity. In this context, Sr-intercalated
Bi$_2$Se$_3$ is specially interesting because it displays pressure induced
re-entrant superconductivity where the high pressure phase shows almost two
times higher $T_c$ than the ambient superconducting phase ( $T_C\sim$ 2.9 K).
Interestingly, unlike the ambient phase, the pressure-induced superconducting
phase shows strong indication of unconventional superconductivity. However,
since the pressure-induced phase remains inaccessible to spectroscopic
techniques, the detailed study of the phase remained an unattained goal. Here
we show that the high-pressure phase can be realized under a mesoscopic point
contact, where transport spectroscopy can be used to probe the spectroscopic
properties of the pressure-induced phase. We find that the point contact
junctions on the high-pressure phase show unusual response to magnetic field
supporting the possibility of unconventional superconductivity.
