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The (Kbar-N-pi) system is studied using separable interactions fitted to dataavailable on the s-wave (Kbar-N)--(pi-Y) subsystem and the p-wave(pi-N),(pi-Y),(pi-pi) and (pi-Kbar) subsystems. Three-body(Kbar-N-pi)--(pi-Y-pi) coupled channel Faddeev equations with relativistickinematics are solved in search for quasibound poles in the complex plane,leading to a I(JP)=1(3/2-) (Kbar-N-pi) quasibound state at M ~ (1570 +/- 10)MeV and width greater than 60 MeV near the (Kbar-N-pi) threshold. A D13Sigma(1570) resonance of molecular structure is thus predicted.

Coupled channel Faddeev calculations of a (Kbar-N-pi) quasibound state