DUP leader, Rev Ian Paisley, tonight pledged to play a positive and constructive role in talks on the political future of Northern Ireland.
Dr Paisley, who led a party delegation for talks with Northern Secretary Paul Murphy, said progress had been made at the meeting.
He added: "We want to be sure that no limitations will be imposed that will impede us from dealing with the many important issues that need to be addressed.
"The people we represent have voted for constructive change. We are committed to work for the implementation of our electoral pledges."
The DUP, which emerged as the largest party after last week's election with 30 seats, has called for a re-negotiation of the Belfast Agreement to create a deal acceptable to unionists.
But Mr Murphy has said that the fundamental principles of the Agreement, including power sharing, the operation of north south institutions and the principle of consent cannot be renegotiated.
A review of the Agreement is due to take place next month and Dr Paisley said tonight that it was important for his party to ensure that the agenda was broad enough to deal with all the matters that concern his supporters.
"The negotiation context must afford us the opportunity to raise all the concerns of the Unionist community address all the flaws of the old Agreement, enable us to reach our objectives and achieve the goals we have set.
"We have left the Secretary of State with some issues that need clarification and we will have another meeting with him soon.
"In addition we want to meet with the Prime Minister to ensure he understands our position and respects the positive agenda we are pursuing," he added.
Ulster Unionist Party leader Mr David Trimble, whose party secured 27 seats in the new Assembly, said his focus would be on challenging the DUP on its proposals to end the deadlock in the political institutions.
He said: "This Assembly here is empty - it is closed and it will not be open until some proposals come forward and it is not good enough for the DUP to go on pretending they are in opposition for the next year or so, because if they do, then we won't be here."
Mr Trimble faces a challenge to his leadership from anti-Agreement members who blame him for the party being overtaken by the DUP.
His arch critic Mr Jeffrey Donaldson today repeated his call for Mr Trimble to resign.
Speaking after the first meeting of the UUP's new assembly group at Stormont, Mr Donaldson said that moves were being made by Trimble supporters to have him ejected from the party.