  S. Blank solved the question of classifying immersed circles in
$\mathbb{R}^{2}$ that extend to immersed disks, and how many topologically
inequivalent disks can be extended. The quetions of various cases in
$2$-dimension have already been solved by generalizing his method. In this
paper, we give a new way, which is straightforward for the questions, and we
determine all topological equivalence classes of immersed surfaces bounded by
an arbitrary immersed circle in a closed oriented surface.
