Loyal orders are in a "long-term process" of engaging with other organisations but will not engage with the Parades Commission, a leading Orangeman has said.
Leaders of the Orange Order met Archbishop of Armagh and Primate of All Ireland Seán Brady last week, and have also met the SDLP twice.
But George Dawson, Grand Master of the Independent Orange Order, said loyal orders would not engage with the Parades Commission, which rules on controversial parades, despite a High Court decision on Friday upholding the appointments to the commission of Orangemen David Burrows and Don MacKay.
It has also been claimed that a third commissioner, Alison Scott McKinley, has family members in the loyal orders. Mr MacKay resigned from the body in May.
"This whole debacle in the High Court is a sideshow," Mr Dawson said. "Our objections to the Parades Commission and the structures around the Parades Commission aren't changed because of the people who are there." But he said meetings with other organisations had been "significant".
"We have had very significant meetings . . . Organisations have learned from us and we have learned from them and that's the process we want to take forward.
"We don't think that's possible within constraints set upon us by legislation and by the Parades Commission."
But he told Radio Ulster's Inside Politics programme that no meeting with Sinn Féin leader Gerry Adams was planned - though he said Mr Adams had made some "interesting comments" on parades.
Also speaking on Inside Politics, SDLP MLA Alex Attwood said the commission had a history of good and principled decisions - but Mr Dawson criticised the body for a lack of transparency. He said non-transparent decisions meant residents groups and loyal orders could not understand one another.