We report evidence of a narrow resonance at a mass of 2705.9+/-3.3+/-2.0 MeV/c2 in the final state OMEGA-pi+ and the charge conjugate. The mass and width support the interpretation of a weakly decaying doubly strange charmed baryon, the OMEGA(c)0. Limits on the relative branching ratios for OMEGA(c)0 --> XI-K-pi+pi+ and OMEGA(c)0 --> OMEGA-pi-pi+pi+ are also presented.