A search for neutral Higgs bosons of the minimal supersymmetric standard model (MSSM) and for a heavneutral [Formula: see text] boson is performed using a data sample corresponding to an integrated luminosity of 3.2 fb[Formula: see text] from proton-proton collisions at [Formula: see text]  [Formula: see text] recorded by the ATLAS detector at the LHC. The heavy resonance is assumed to decay to a [Formula: see text] pair with at least one [Formula: see text] lepton decaying to final states with hadrons and a neutrino. The search is performed in the mass range of 0.2-1.2  [Formula: see text] for the MSSM neutral Higgs bosons and 0.5-2.5  [Formula: see text] for the heavy neutral [Formula: see text] boson. The data are in good agreement with the background predicted by the Standard Model. The results are interpreted in MSSM and [Formula: see text] benchmark scenarios. The most stringent constraints on the MSSM [Formula: see text]-[Formula: see text] space exclude at 95 % confidence level (CL) [Formula: see text] for [Formula: see text] [Formula: see text] in the [Formula: see text] MSSM scenario. For the Sequential Standard Model, a [Formula: see text] mass up to 1.90  [Formula: see text] is excluded at 95 % CL and masses up to 1.82-2.17  [Formula: see text] are excluded for a [Formula: see text] of the strong flavour model.