The Deputy First Minister of Northern Ireland, Martin McGuinness, has said Unionist politicians were "dancing to the tune" of the Orange Order and the paramilitary organisation, the UVF.
His comments come after the DUP and Ulster Unionists withdrew from the all party talks at Stormont on parades and flags, in protest at a Parades Commission ban on an Orange Order march past a nationalist area in Belfast on the 12 July.
Mr McGuinness called for calm and for everyone to recognise that this was a difficult situation, approaching a crisis in the political process, caused by the refusal of unionism to respect the determination of a lawfully constituted body, the Parades Commission.
Elsewhere,the Orange Order has invited the President, Michael D Higgins, to take part in its only parade in the Republic of Ireland next year.
This is the first time the Order has invited the Irish head of state to attend the annual demonstration.
7,000 marchers from Orange lodges across the border counties took part in the annual demonstration in Rossnowlagh, Co Donegal.
Speaking at the event Grand Master of the Order Edward Stevenson publicly invited President Higgins to next years parade, saying he hopes the President will accept the genuine invitation in the spirit of goodwill and neighbourliness in which it is intended