  Two 0$^{+}$ states at 1294.5 and 1774.0 keV, together with three 2$^{+}$ and
one 4$^{+}$ levels, were identified or unambiguously spin-parity assigned for
the first time in $^{100}$Zr utilizing $\gamma$-ray spectroscopy and
$\gamma$-$\gamma$ angular correlation techniques with the Gammasphere
spectrometer, following the $\beta^{-}$ decay of neutron-rich, mass separated
$^{100,100m}$Y isotopes. Comparisons with recent Monte Carlo Shell-Model (MCSM)
calculations indicate that these two states are candidates for the bandhead of
a sequence in a shape-coexisting spherical minimum predicted to be located
around $\approx$1500 keV. According to the measured relative B(E2)$_{relative}$
transition probabilities, the 0$_{5}^{+}$ state exhibits decay properties which
more closely align with those predicted for a spherical shape, while the
0$_{4}^{+}$ level is suggested to be associated with a weakly-deformed shape
similar to one related to the 0$_{2}^{+}$ state.
