  We analyze how the presence of the bound state on top of strong
intercomponent contact repulsion affects the dynamics of a two-component
ultracold Fermi gas confined in a one-dimensional harmonic trap. By performing
full many-body numerical calculations, we retrieve dynamics of an initially
phase separated state that has been utilized to excite the spin-dipole mode in
experimental settings. We observe an appearance of pairing correlations at the
domain wall, heralding the onset of a molecular faction at the interlayer
between the components. We find that such a mechanism can be responsible for
the stabilization of the phase separation.
