  Differential resistance measurements are conducted for point contacts (PCs)
between tungsten tip approaching along the $c$ axis direction and the $ab$
plane of Sr$_{2}$RuO$_{4}$ single crystal. Three key features are found.
Firstly, within 0.2 mV there is a dome like conductance enhancement due to
Andreev reflection at the normal-superconducting interface. By pushing the W
tip further, the conductance enhancement increases from 3\% to more than 20\%,
much larger than that was previously reported, probably due to the pressure
exerted by the tip. Secondly, there are also superconducting like features at
bias higher than 0.2 mV which persists up to 6.2 K, resembling the enhanced
superconductivity under uniaxial pressure for bulk Sr$_{2}$RuO$_{4}$ crystals
but more pronounced here. Third, the logarithmic background can be fitted with
the Altshuler-Aronov theory of tunneling into quasi two dimensional electron
system, consistent with the highly anisotropic electronic system in
Sr$_{2}$RuO$_{4}$.
