  We have found numerically initial conditions in the $(R, H)$ plane leading to
a successful Starobinsky inflation in $R+R^2$ gravity for a isotropic metrics
with positive spatial curvature. Trajectories can reach inflation regime either
directly or going through a bounce, and even recollapse followed by a bounce.
Our numerical plots indicate that ``good" initial conditions exist even for big
initial spatial curvature, however, we argue that such a trajectory must cross
a region of rather big $R$ or $H$. This means that the range of viability of
$R+R^2$ theory in the $(R,H)$ plane directly affect the question of viability
of Starobinsky inflation for a positive spatial curvature isotropic Universe.
