DS Venture, owner of the oil tanker Duzgit Venture, is claiming limited liability, for allegedly severing the cables last January.
Matangi Tonga reported the Supreme Court case would continue on 30 October.
A March judgment found that Tonga Cable Limited could not pursue its full claim of over $US1.2 million for the damage that it alleged the oil tanker caused to its two undersea communications cables, because the piece of legislation to support its claim had never been gazetted.