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(0)(c) -> Xi(0) phi (-> K+K-) with a polarized. and the nonresonant decay via a direct process Xi(0)(c) -> Xi(K+K-)-K-0. We present these measurements, relative to the normalization mode Xi(-)pi(+), and find branching ratios Xi(0)(c) -> Xi(0) phi (-> K+K-))(B Xi(0)(c) -> Xi(-)pi(+)) = 0.036 +/- 0.004(sta.) +/- 0.002(syst.) and (B Xi(0)(c) -> Xi(-)K(+)k(-))/(B Xi(0)(c) -> Xi(-)pi(+)) = 0.039 +/- 0.004(stat.) +/- 0.002(syst.), which suggest that only minor cusping peaks occur in the combinatorial background of Omega(*-) ->Xi K-0(-) due to these Xi(0)(c) decays.