  Using the entire data sample of $980$ $fb^{-1}$ integrated luminosity
collected with the Belle detector at the KEKB asymmetric-energy $e^{+}e^{-}$
collider, we present an amplitude analysis measuring the branching fractions of
the Cabibbo-allowed, $W$-exchange resonant decay $\Xi_{c}^{0} \rightarrow
\Xi^{0} \phi (\to K^+ K^-)$ with a polarized $\phi$ and the non-resonant decay
via a direct process $\Xi_{c}^{0} \rightarrow \Xi^{0} K^+ K^-$. We present
these measurements, relative to the normalization mode $\Xi^{-}\pi^{+}$, and
find branching ratios $\frac{\mathcal{B}(\Xi_{c}^{0} \rightarrow \Xi^{0} \phi
(\rightarrow K^{+}K^{-}))}{\mathcal{B}(\Xi_{c}^{0} \rightarrow \Xi^{-}
\pi^{+})} = 0.036 \pm 0.004 (stat.) \pm 0.002 (syst.)$ and
$\frac{\mathcal{B}(\Xi_{c}^{0} \rightarrow \Xi^{0} K^{+}
K^{-})}{\mathcal{B}(\Xi_{c}^{0} \rightarrow \Xi^{-} \pi^{+})} = 0.039 \pm 0.004
(stat.) \pm 0.002 (syst.)$ which suggest that only minor cusping peaks occur in
the combinatorial background of $\Omega^{*-} \to \Xi^{0}K^{-}$ due to these
$\Xi_{c}^{0}$ decays.
