(Joint work with D. Peschka and A. Muench). We consider a simple model for line rupture of thin fluid films in which Trouton viscosity and van-der-Waals forces balance. For this model there exists a one-parameter family of second kind self-similar solutions. We establish necessary and sufficient conditions for convergence to any self-similar solution in a certain parameter regime. We also present a conjecture on the domains of attraction of all self-similar solutions which is supported by numerical simulations.