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.
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.
BBC: NEWS | UK | Northern Ireland | Preparations for 'virtual assembly'
The Foyle MP Mark Durkan said "more likely than not" the telehouse will now be located in Derry.
The SDLP MP Mark Durkan said Baroness Thatcher had made a "controversial impact" on political life and "divided opinion".
Foyle MP Mark Durkan called for an independent international investigation into the killings.
Mr McCann said Gerry Adams and Mark Durkan could still make a "principled decision" not to meet President Bush.
BBC: NEWS | UK | Northern Ireland | Iraq and Bush muddy NI loyalties
Her work was praised by Foyle SDLP MP Mark Durkan and Ms Villiers.
The SDLP's Mark Durkan said it was not right to attack the Treasury report, as it was "helpful to us".
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.
The leader of the nationalist SDLP, Mark Durkan, condemned the "murderous" attacks.
Mark Durkan told the BBC he did not want to speak about Patsy McGlone's decision to challenge the party leadership of Margaret Ritchie.
The motion has also been signed by Labour MPs Jim Dobbin and Michael Connarty, Liberal Democrat Bob Russell and Mark Durkan of the SDLP.
The leader of the nationalist SDLP, Mark Durkan, criticised David Trimble's tactics, saying the difficulties in the peace process would not be resolved by deadlines.
"We will be working with finance minister Mark Durkan and we will be bringing it through to the executive in a structured way, " he said.
Former SDLP leader Mark Durkan also paid tribute to Ms McCormack.
The SDLP's Mark Durkan said there was a "crucial need" for the teaching of such training and claimed Northern Ireland was "lagging behind the rest of Europe".
Responding to a question from SDLP MP Mark Durkan, David Cameron said people should have an open mind about a review of the case by Sir Desmond DeSilva QC.
Mr McCausland said the SDLP's reference to "social landlords" did not include the private-rented sector, however the proposer Mark Durkan said this term was intended to include this sector.
An eclectic coalition of MPs have signed this including arch-critics of the bill Tim Loughton and Stewart Jackson, the SDLP's Mark Durkan, Green MP Caroline Lucas and Lib Dem Greg Mulholland.
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