We describe searches for decays to two-body charmless final states η′η, η′π0 and ηπ0 of B0 mesons produced in e+e- annihilation. The data, collected with the BABAR detector at the Stanford Linear Accelerator Center, represent 232×106 produced BB̄ pairs. The results for branching fractions are, in units of 10-6 (upper limits at 90% C.L.): B(B0→η′η)=0.2-0.5+0.7±0.4(<1.7), B(B0→ηπ0)=0.6-0.4+0.5±0.1(<1.3), and B(B0→η ′π0)=0.8-0.6+0.8±0.1(<2.1). The first error quoted is statistical and the second systematic. © 2006 The American Physical Society.