The DUP, of which Mr Robinson is leader, has tabled an assembly motion for Monday seeking an apology.
In July the DUP was unsuccessful in gaining support in the assembly for a motion to exclude Sinn Fein's two ministers from the executive.
Earlier this year, the assembly backed a motion expressing concern at the "poor state" of the public transport system and seeking a comprehensive and integrated policy to be implemented.
Mr McGuinness outlined the series of events leading to the motion the assembly was now discussing.
On Monday, the assembly will debate a motion that calls on the Stormont executive to bring forward legislation that would allow for same-sex marriage.
In 2011 Julie Morgan and Christine Chapman co-sponsored a motion in the Assembly calling for a smacking ban.
Despite this, Assembly Members unanimously backed a motion in December calling for a tickbox to be added.
Plaid AM for South Wales Central Chris Franks has tabled a motion in the assembly condemning the proposed closures and the party has a campaign website.
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Sinn Fein has said it intends to table an emergency motion in the assembly on Monday asking Mr Robinson to answer questions about the recent allegations against him.
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Plaid's Welsh assembly group tried to amend the motion to avoid backing the licence fee campaign.
It has tabled a motion calling on the assembly to endorse its recommendation.
The committee took evidence 10 years to the day after the assembly voted in favour of a motion calling for a ban on smoking in public buildings.
The government tabled a motion proposing that the assembly notes that securing the best deal for Wales from CAP Reform is a key priority for the Welsh Government.
She proposed the motion and told the assembly that the cutting of nursing home places within the Western Health Trust is "an absolute scandal" and "of grave concern".
She proposed the motion and told the assembly that the cutting of nursing home places within the Western Health Trust was "an absolute scandal" and "of grave concern".
The motion called on the assembly to approve the report and asked Environment Minister Edwin Poots to bring forward a timetable for implementing the recommendations contained in the report.
Earlier Finance Minister Sue Essex had said there was no disagreement on the principle of the motion, and the assembly government was already committed to looking at ways of speeding up the process.
Alun Davies AM supported the party's motion calling on the assembly to recognise the importance of the budget of the European Union for the future of the Common Agricultural Policy (CAP) and regional funds.
Mr Cairns said the motion calling for a full assembly debate on the windfarm proposal on Tuesday clashed with the Conservatives' conference in Bournemouth.
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Speaking on BBC Northern Ireland's The View on Thursday evening, Nigel Dodds, DUP, said his party would be taking steps to table a motion in the Northern Ireland Assembly over flying flags at Stormont.
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The presiding officer of the 60-member National Assembly cannot vote in a no-confidence motion, leaving Mr Michael with 28 votes to his opponents' 31.
In November, Assembly members failed to agree on an Ulster Unionist motion to end double-jobbing by 2011.
But on Tuesday he said the Northern Ireland Assembly was bound come to tumbling down if the motion fails.
The assembly government needs the support of 40 of the 60 assembly members to win the vote and set in motion a process resulting in a referendum on further powers.
The Liberal Democrats intend to table a motion for a debate on the issue by assembly members in the Senedd next week.
Speakers for the other parties generally supported the motion although there were some concerns that the Assembly should be spending time discussing this matter.
But in an eleventh hour move, David Ervine of the Progressive Unionist Party, which is linked to the loyalist paramilitary Ulster Volunteer Force, said he and his assembly colleague Billy Hutchinson had signed Mr Trimble's motion.
This is the first motion of no confidence to be tabled since the assembly election in May 2011.
The motion called on Enterprise Minister Arlene Foster to advise the assembly why the situation has not been resolved.
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