This forced them steadily closer at the talks table to the main unionist political party, the Ulster Unionists, led by David Trimble.
He said there would be a further round-table talks in Belfast next Thursday.
If agreement can be reached at round-table talks, fresh legislation can be fast-tracked through the current synod, they insist.
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By 1989, he was a nifty sports minister, soon brought in to negotiate on behalf of the communists at the round-table talks that took Poland back to democratic multi-party politics.
But he demanded "serious and urgent round table talks" between head teachers, the Department for Education, and the Department for Culture, Media and Sport to work out a way of giving sport greater prominence on the school timetable.
I've had a constructive dialogue, there are outstanding questions, we shouldn't hide that, the SDLP owned inquiries and a number of other areas but I think that what impressed me as an attendee for the first time at these particular round-table talks was the absolute commitment of everyone there to make this process work.
Reportedly, a purchase of Leap is the nearest to fruition, with "under the table" talks already underway.
The woman who will sit at the table if talks re-start also spoke of new hope.
And he coaxed balking financiers back to the table when talks ran aground, they said.
In June, Democratic leaders Nancy Pelosi and Harry Reid said Medicare was off the table and talks on the budget and debt ceiling made little progress.
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Washington is also hoping for Pakistan's help in bringing Taliban leaders to the table for peace talks.
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But both governments have shown they are willing to get back to the table, and talks are now resuming.
But Mr Cameron said that no resolution could provide the "political will" needed for lasting peace and called on both Israel and the Palestinians to return to the negotiating table for direct talks.
But Obama made scant mention of efforts to strengthen the political opposition and glossed over the year-long effort to bring the regime and opposition to the table for peace talks that broke down months ago and now seem dead in the water.
Obama, in fact, insists that Medicaid is entirely off the table in current budget talks.
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Mohamed ElBaradei, who won the 2005 Peace Prize for his efforts to prevent nuclear energy being used for military means, said Obama deserved to win for his efforts to bring Iran to the table for direct nuclear talks with the United States.
Yet, the President continually proposes more tax increases on American companies, placing those on the table in the debt limit talks as well.
U.S., European, Russian and Chinese officials say their offer of talks with Iran is still on the table if Iran suspends controversial nuclear activities.
In 1994, when North Korea put the Yongbyon reactor on the negotiating table, it also began talks to get HEU technology from Pakistan via A.Q.
One new idea you bring to the table is the offer of direct talks.
The pressure is on RIM Co-Chief Executive JamesBalsillieJames Balsillie to quickly resolve his company's patent dispute with NTP , and now the maker of the popular BlackBerry wireless email devices has returned to the bargaining table and is engaging in settlement talks through a court-appointed mediator.
The players at the bargaining table have changed since the last contract talks.
No one at the table is optimistic about the upcoming unity talks, even though everyone agrees that unity is just what Lebanon needs.
Your Majesty, last year Jordan managed to break the impasse in the peace process by hosting the Amman talks, bringing Israelis and Palestinians together at the negotiating table.
But the vehicle for these negotiations is the talks led by the Vice President, and we feel that those talks have been productive, that the folks around the table in those negotiations have come to the table to do serious work, and we are optimistic that we can find common ground and produce a deficit-reduction package that Americans will support.
In the library, where weekly workshops, book clubs and talks are held, is a selection of beautiful Taschen coffee table books and must-reads including Vogue creative director Grace Coddington's autobiography.
So on that very point about how the President has a plan on entitlements, so Congress can pass it, yesterday you were asked about Senator Dick Durbin saying entitlement changes like that, like the President has put on the table should not be part of the fiscal cliff talks.
And the if you enter bilateral talks, they'll be happy to walk away from the table.
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