Using a sample of 1.31 billion J/ÏPsi events accumulated with the BESIII detector at the BEPCII collider, we report the observation of the decay J/Psi --> phi pi0, which is the first evidence for a doubly Okubo-Zweig-Iizuka suppressed electromagnetic J/ÏPsi decay. A clear structure is observed in the K+K- mass spectrum around 1.02 GeV/c2, which can be attributed to interference between J/Psi --> phi pi0 and J/Psi-->\u92K+K-pi0 decays. Due to this interference, two possible solutions are found. The corresponding measured values of the branching fraction of J/Psi --> phi pi0 are [2.94±0.16(stat)±0.16(cyst)]x10-6 and [1.24±0.33(stat)±0.30(cyst)]x10-7
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