Sinn Fein are due to meet the Parades Commission later to discuss future parades in Ballymena.
The Orange Order has already re-routed a march in Ballymena
A parade was voluntarily re-routed to help relieve tensions in the town following the death of 15-year-old Michael McIlveen earlier this month.
Sinn Fein's Philip McGuigan said they were now keen to see the parades issue in Ballymena settled for good.
The North Antrim assembly member said the issue could only be resolved through dialogue.
"It is now more than ever, time that the parades issue in Ballymena was finally settled once and for all, particularly after the death of young Michael McIlveen as a result of a bitter sectarian-fuelled attack," Mr McGuigan said.
The attack on Michael McIlveen led to widespread shock and cross-community condemnation both in the County Antrim town and across Northern Ireland.
The teenager died on 8 May, a day after being attacked by a gang at Garfield Place in Ballymena.
Six teenagers have been charged in connection with his death.
The Parades Commission was set up in by the government in 1997 to make decisions on whether controversial parades should be restricted.