Plateau's problem asks whether for a given curve in Euclidean space there exists a Sobolev disc of least area spanning it. While the positive answer is well known for Jordan curves, the classical theory breaks down for self-intersecting curves. In the talk we discuss a solution of Plateau's problem for singular curves possibly having self-intersections. It relies on recent results by Lytchak and Wenger concerning Plateau's problem in general metric spaces.