Fr Michael Sheehan, from St Patrick's Church on Donegall Street, said a meeting could be organised between his church and clergy from churches to which loyal orders belong.

"There could be a meeting there on a level where we would be able to say, 'Look we have ideas, we have beliefs, we both encourage Christian values and the gospel, can we meet and see how it can be done?" he told UTV.

A Parades Commission ruled that bands should only play a single drumbeat when passing his church during Saturday's Black parade and the priest says he was shocked that the determination was defied.

"Maybe I was naive when I thought that Parades Commission determination would be kept, and I was very surprised when the bands started up," he said.

He said that spectators seemed to get louder and louder in what he felt "was supposed to be insulting".

"It certainly came across as a sense of saying, we don't care about your church, your building, your people, we'll do what we want."

Winston Irvine, of North and West Belfast Parades Forum, said they are prepared to engage in talks, but the real problem must be addressed.

I think it's important to say that the real problem here does not exist between the St [Patrick's] Parish Church and the parade organisers. The real problem is with the Parades Commission.

Winston Irvine

"It has been their decision and their determination which has aggravated the situation and of course in the coming days we will be seeking to take that issue forward," he said.

"This Parades Commission has caused untold damage throughout the summer and it's high time the commission went."

North Belfast Sinn Féin Councillor Conor Maskey said the action of the orders has left the residents feeling "affronted".

"They need to show dignity to the residents. They need to show respect to the residents. They need to stop provocation deeply offensive provocation outside a place of worship," he added.

Meanwhile the Catholic Bishop of Down and Connor Noel Treanor has criticised the actions of some of those parading during Saturday's Black Institution parade, accusing them of provocative sectarianism and insulting behaviour.

"Their behaviour is not worthy of our city, nor of the Christian ideals espoused by the Royal Black Preceptory and other organisations involved," he said.

The senior cleric also criticised senior unionist politicians who have signed a letter calling for the replacement of the Parades Commission.