A method of abandoning a pipeline being laid by a pipelaying vessel, wherein said pipeline is being held by a lay tower comprising a pipelaying and tensioning arrangement, comprising at least the steps of: (a) linking the end of the pipeline (103) to a flexible tubular handling conduit (102); (b) separately linking the pipeline to a lifting wire (104); and (c] lowering the pipeline towards the sea floor. In this way, the present invention, using the load capacity of both a flexible tubular handling conduit and a lifting wire for at least some of the pipeline lowering, is able to operate either more safely at existing depths, or at even greater depths to an ocean floor than before, or both.