BPS domain walls in models with flat directions

We consider BPS domain walls in four-dimensional N = 1 supersymmetric model s with continuous global symmetry. Since the BPS equation is covariant unde r a global transformation, the solutions of the BPS walls also have global symmetry. The moduli space of tile supersymmetric vacua in such models has non-compact flat directions, and complex BPS walls interpolating between tw o disjoint flat directions can exist. We examine this possibility in two mo dels with global O(2) symmetry and construct the solutions of such BPS wall s.