The Orange Order has lodged an appeal against a High Court ruling banning Portadown Orangemen from marching along the mainly nationalist Garvaghy Road on Sunday.
On Friday the Parades Commission announced that the Orange Order parade could proceed for the first time in almost 30 years with restrictions in place.
The Garvaghy Road Residents' Coalition (GRRC) had mounted a legal challenge to the decision and a High Court judge on Saturday afternoon issued an injunction temporarily halting the march.
It came after Portadown District Orange Lodge declined a request from Judge Patricia Smyth to postpone the parade until all issues were properly considered.
The basis of the review was on the PSNI's risk assessment to the Parades Commission.
Lawyer Denise Kiley KC for the residents told the High Court hearing that "much remains uncertain" in the wake of the ruling.
She claimed that "nowhere" in the PSNI's contribution to the commission was there "any assessment of future risk" and was "entirely directed to past risk".
"That all leads to a requirement for more time and for the Parades Commission to explain the discrepancy that is apparent on the face of the documents," she said.
Delivering her decision to issue an injuction, Judge Smyth said "the level of mistrust" between residents and the lodge cannot be "overstated."
"It is also clear to me that this particular long running dispute has the potential to escalate within Northern Ireland," she added.
"Against that backdrop I am thoroughly of the view the issues of all three parties must be properly ventilated."
Afterwards GRRC spokesperson Breandan Mac Cionnaith said that "this isn't over yet".
He told supporters in a crowd of several hundred outside the High Court not to be "triumphalist".
But he added "we're halfway there".
Eóin Tennyson MLA, Alliance deputy leader, said that calm heads were needed.
"Following the High Court's intervention, it is important that everyone now takes a step back and responds responsibly," he said.
DUP leader Gavin Robinson MP said unionists would await the court's decision and expect "all parties to respect the legal process".
"The Orangemen of Portadown have conducted themselves with dignity and respect for the rule of law for 28 years. If they must wait for further deliberation, be it 28 days, they will do so with their heads held high and dignity intact."
SDLP leader Claire Hanna MP said Drumcree "carries a history and a meaning that cannot be ignored".
"I welcome that the heat has been taken out of this difficult episode. Lighting the tinder is easy; putting the fire out is much harder."
TUV leader Jim Allister said he was dismayed at the handling of the judicial review hearing.
"I trust the Court of Appeal will rectify the situation," he said.
People Before Profit MLA Gerry Carroll said he would continue to offer support to Garvaghy Road residents.
"We will not let them drag us back to the dark days of sectarian violence and division."
Earlier on Saturday Judge Smyth had given the parties involved a final opportunity to "reach an agreement" and "step back from the abyss".
Judge Smyth said "it is my view the issues at stake are so sensitive and so important, I would expect all of the lawyers to be creative and to use the law for the good of all the people in Northern Ireland."
The judge said the issue the court is dealing with is of "fundamental importance" to the entire society in Northern Ireland.
Portadown District Lodge submitted a letter in which they outlined their reasons for not agreeing to delay the parade.
"The suggestion there is no prejudice to us is, to be frank, absolutely contrary to all reality," the letter said.
"The prejudice is very clear – those opposed to us could simply ramp up the threat of disorder or violence, to change the factual context, and therefore effectively act as a veto."
It added: "This is not balanced or fair to us; it is depriving us, potentially on a permanent basis, of what we have been lawfully granted for Sunday, with no guarantee this outcome will be replicated even if the Applicant's case is ultimately found to be without any merit whatsoever."
The letter concluded: "We would ask the court not to take this unprecedented and extraordinary step, which we are advised is unheard of and has hitherto not ever occurred."
Earlier the judge highlighted that the information provided to the court from the PSNI has "promoted further enquiries" and "further time would be of benefit to the court."
"In my view it would be contrary to justice and unwise to proceed to make a decision in the absence of information in relation to the issues I have identified."
She said the important date for the Orange Order was July 5 and therefore there "is no prejudice in adjourning for a short period to allow this case to be prepared by all parties ."
Rather than start at 13:00 BST on Sunday as intended, the Parades Commission had said the march could depart no later than 08:00 and with 35 participants , externalrather than the 60 the Orange Order requested. No bands or supporters are allowed.
According to the Drumcree Catholic Church parish website, external, Mass takes place at 08:30 on Sundays in the church of St John the Baptist on the Garvaghy Road.
When asked by BBC News NI if Mass time had been taken into consideration in their determination, the Parades Commission said commissioners "recognise that the timings set out in the determination" should allow the church service "to proceed as normal".
In a statement issued on Saturday afternoon, the leader of the Catholic Church in Ireland, Archbishop Eamon Martin, called for "prayers and support for a peaceful resolution to complex Garvaghy Road situation".
He said he shares the "sense of shock and disappointment of so many people at recent developments".
"I also appeal for support for the patient use of solely lawful and democratic processes to resolve this deeply complex and emotive situation."
Fr Peter Clarke, from St John the Baptist, said he was concerned the march would "clash" with parishioners coming and going from the church.
Following Friday's determination, the priest said he emailed the commission to express his concerns and stated he "doesn't know how they came to" their conclusion, which is now "out of their hands".
Having "unhappy recollections" of the Drumcree dispute during the 1990s he said he "wouldn't like to see" a return to those days.
Parishioners at St Patrick's Church on William Street are also likely to be affected ahead of the 10:00 service, according to the priest.
He added "tensions are high" in the community, and said he will be addressing the situation during Sunday's service.
The Parades Commission has been in the political spotlight since its previous Drumcree determination was quashed in the High Court in August.
A review of the commission has since been ordered by the Northern Ireland Office.
The Drumcree parade dispute began in the mid-1990s and it almost derailed the peace process at the time.
Violence related to the dispute resulted in riots, roadblocks and murders.
When the Orange Order was prevented by police from walking down the route in July 1995 there was a tense stand-off. It was the same for the next three years.
The Parades Commission began operating in 1998 to regulate parades and try to defuse tension around marches.
Its decision not to allow a march down the Garvaghy Road that summer has been challenged by the order over the past three decades.
