  This paper explores the possible existence of stable regions of bounded
excursion gravastars in the background of regular black holes (Bardeen and
Bardeen-de Sitter black holes). For this purpose, we match internal de Sitter
geometry with an external regular black hole through an intermediate shell with
an equation of state. The matter surface located at the shell greatly affects
the dynamical configuration of the shell. We consider stiff and dust fluids to
discuss the outcomes of the developed structures. We then determine the
critical values of physical parameters at which the shell neither collapses nor
expands for both cases with different choices of external and internal
geometries. It is found that there does not exist any possible region of stable
bounded excursion gravastar for the interior flat and exterior regular
geometries. However, the stable bounded excursion gravastar is obtained for the
interior de Sitter and exterior regular black holes with a suitable choice of
physical parameters for both stiff and dust shells. We conclude that the
possibility of the existence of both bounded excursion gravastars as well as
black holes cannot be excluded in the dynamical model.
