  We present results of a search for two hypothetical strange dibaryon states,
i.e. the H-dibaryon and the possible $\bar{\Lambda\mathrm{n}}$ bound state. The
search is performed with the ALICE detector in central (0-10%) Pb-Pb collisions
at $ \sqrt{s_{\rm{NN}}} = 2.76$ TeV, by invariant mass analysis in the decay
modes $\bar{\Lambda\mathrm{n}} \rightarrow \bar{\mathrm{d}} \pi^{+} $ and
H-dibaryon $\rightarrow \Lambda \mathrm{p} \pi^{-}$. No evidence for these
bound states is observed. Upper limits are determined at 99% confidence level
for a wide range of lifetimes and for the full range of branching ratios. The
results are compared to thermal, coalescence and hybrid UrQMD model
expectations, which describe correctly the production of other loosely bound
states, like the deuteron and the hypertriton.
