  MoTe2 is a Weyl semimetal, which exhibits unique non-saturating
magnetoresistance and strongly reinforced superconductivity under pressure.
Here, we demonstrate that a novel mesoscopic superconductivity at ambient
pressure arises on the surface of MoTe2 with a critical temperature up to 5 K
significantly exceeding the bulk Tc=0.1K. We measured the derivatives of I-V
curves for metallic hetero-contacts of MoTe2 with Ag or Cu, homo-contacts of
MoTe2 as well as "soft" point contacts (PCs). Large number of these
hetero-contacts exhibit a dV/dI dependence, which is characteristic for Andreev
reflection. It allows to determine the superconducting gap \Delta. The average
gap values are 2\Delta=1.30+/-0.15 meV with a 2\Delta/kBTc ratio of 3.7+/-0.4,
which slightly exceeds the standard BCS value of 3.52. Furthermore, the
temperature dependence of the gap follows a BCS-like behavior, which points to
a nodeless superconducting order parameter with some strong-coupling
renormalization. Remarkably, the observation of a "gapless-like" single minimum
in the dV/dI of "soft" PCs may indicate a topological superconducting state of
the MoTe2 surface as these contacts probe mainly the interface and avoid
additional pressure effect. Therefore, MoTe2 might be a suitable material to
study new forms of topological superconductivity.
