A method for abandonment of a subsea well includes: setting a packer of a lower cementing tool against a bore of an inner casing at a location adjacent to an outer casing; fastening a pressure control assembly (PCA) to the subsea wellhead; hanging an upper cementing tool from the PCA and stabbing the upper cementing tool into a polished bore receptacle of the lower cementing tool; perforating a wall of the inner casing below the packer; perforating the inner casing wall above the packer by operating a perforator of the upper cementing tool; and pumping cement slurry followed by a release plug through bores of the cementing tools. The release plug engages and launches a cementing plug from the lower cementing tool. The cementing plug drives the cement slurry through the perforations below the packer and into an inner annulus formed between the inner casing and the outer casing.