  We present a theoretical study of electronic transport in a hybrid junction
consisting of an excitonic insulator sandwiched between a normal and a
superconducting electrode. The normal region is described as a two-band
semimetal and the superconducting lead as a two-band superconductor. In the
excitonic insulator region, the coupling between carriers in the two bands
leads to an excitonic condensate and a gap $\Gamma$ in the quasiparticle
spectrum. We identify four different scattering processes at both interfaces.
Two types of normal reflection, intra- and inter-band; and two different
Andreev reflections, one retro-reflective within the same band and one
specular-reflective between the two bands. We calculate the differential
conductance of the structure and show the existence of a minimum at voltages of
the order of the excitonic gap. Our findings are useful towards the detection
of the excitonic condensate and provide a plausible explanation of recent
transport experiments on HgTe quantum wells and InAs/GaSb bilayer systems.
