  The developed Faddeev three-body equations are solved to search for
bound-state solutions of a phi-meson $ \left(\phi\right) $ and two nucleons $
\left( \textrm{NN} \right) $ system. The newly published spin $ 3/2 $ $
\textrm{N-\ensuremath{\phi}} $ potential based on the $
\left(\textrm{2+1}\right) $-flavor lattice QCD simulations near physical point,
and realistic $ \textrm{NN} $ Malfliet-Tjon (MT) potential, are employed. Our
numerical calculations for $ (I)J^{\pi}=(0)2^{-}$ $ \phi\textrm{-d} $ system in
maximum spin leads to ground state binding energy of about $ 7 $ MeV and a
matter radius of about $ 8 $ fm. Our results indicates the possibility of the
formation of new nuclear clusters.
