Trimble was returned as First Minister with a new deputy in the SDLP's Mark Durkan.
BBC: NEWS | Programmes | BBC Parliament | When the assembly worked
The SDLP leader, Mark Durkan, said Mr Trimble's remarks about the republic were "unwarranted".
Deputy First Minister Mark Durkan condemned the murder and said it was a senseless act.
Party leader Mark Durkan will unveil the proposals at a news conference later on Tuesday.
But Mr Durkan would not be drawn on the future of the leadership of his party.
Mark Durkan of the SDLP wanted reassurance that Professor Troop would have sufficient powers of investigation.
The move was also welcomed by SDLP leader and Deputy First Minister Mark Durkan.
Earlier, SDLP leader and Deputy First Minister Mark Durkan said he believed the IRA was "still active".
The SDLP's Mark Durkan explained the need for changes to be be made to the 2008 act.
Mark Durkan of the SDLP said "the system as it currently stands is not fit for purpose".
On Wednesday, SDLP leader Mark Durkan said what he called "the politics of side deals" was unacceptable.
Peter Robinson was replying to a question from the SDLP's Mark Durkan about the draft programme for government.
Mark Durkan wants to test how seriously the government responds to assembly votes on policies like water charges.
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The Foyle MP Mark Durkan said "more likely than not" the telehouse will now be located in Derry.
Therefore, if Mr Durkan gets more than 19, 747 votes in this election, he will have increased his majority.
The SDLP MP Mark Durkan said Baroness Thatcher had made a "controversial impact" on political life and "divided opinion".
Fairyhouse staged four Grade One races in one afternoon, and Tranquil Sea won the John Durkan Memorial Punchestown Chase.
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Foyle MP Mark Durkan called for an independent international investigation into the killings.
Mr Durkan said he endorsed General John De Chastelain's call for loyalist paramilitaries to engage with the arms body.
Mr McCann said Gerry Adams and Mark Durkan could still make a "principled decision" not to meet President Bush.
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Durkan said he had spoken to Keith Burnside's girlfriend who witnessed the attack.
Her work was praised by Foyle SDLP MP Mark Durkan and Ms Villiers.
But Mo Durkan said the significance of the parade ground's reopening goes far beyond its significance as an events space.
The SDLP's Mark Durkan said it was not right to attack the Treasury report, as it was "helpful to us".
Mr Durkan told Prime Minister's Quesions in the Commons that the prime minister should now go further and order an inquiry.
The SDLP's Mark H Durkan said the proposed amendments to the state pension age in Northern Ireland were "unfair and illogical".
Still, his opponent, Mitchel McLaughlin, is a second-rank republican figure, so Mr Durkan looks likelier to survive than does Mr Trimble.
The Foyle MP Mark Durkan and all six local MLAs have asked Further Education Minister Stephen Farry to intervene in the dispute.
Earlier, SDLP leader Mark Durkan denied his party was divided over whether to support the Northern Ireland budget and programme for government.
"People cannot be allowed to murder and maim and expect the rest of us to turn a blind eye, " Mr Durkan said.
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