Lorentzian Wormholes in the Friedman-Robertson-Walker Universe

The metric of some Lorentzian wormholes in the background of the FRW universe is obtained. It is shown that for a de Sitter space-time the new solution is supported by Phantom Energy. The wave equation for a scalar field in such backgrounds is separable. The form of the potential for the Schr"{o}dinger type one dimensional wave equation is found.