"I have been assured by Arlene Foster that that is not going to be the case and they are fighting for a deal that is good for Northern Ireland and good for everybody", he said.
UK Prime Minister Theresa May is barracked while she is bundled into her auto after London fire protesters turned angry.
Her failure to win a majority has put May under pressure over her Brexit plans from inside and outside her party and has prompted complaints about her choice of partner due to the DUP's stance on social issues such as gay marriage and abortion.
Grainne Teggart, Campaign Manager for Amnesty International in Northern Ireland, said: "Today's results confirm what we have long known: that an overwhelming majority favour reform of our inhumane abortion laws".
"Northern Ireland is perhaps the most vulnerable part of Europe to a bad Brexit deal, should that happen", said Mr Coveney.
The Sinn Féin National Chairperson also accused the Irish Government under Enda Kenny of a "dereliction of public leadership".
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With only 2 months left from the examination, further changes introduced in its eligibility criteria has added fuel to this fire. PCB regular for two years Aspirants must have studied PCB regular for two years in order to be eligible for the examination.
May's programme will most probably have to be watered down, dropping some of her preferred reforms to help get legislation through Parliament and possibly having to give way to other ministers who have strong views over the direction of Brexit. To remain in power she will depend on DUP support. "Bear in mind that she was a hell of a lot more popular than the current prime minister".
The newspaper quoted another former minister as saying: "If she weakened on Brexit, the world would fall in. all hell would break loose".
Northern Ireland has been without a powersharing Executive since March and without a First and Deputy First Minister since January. Damian Green, the UK's First Secretary of State, defended May on Saturday, saying she was "distraught" by the blaze and calling criticism "terribly unfair".
In a highly unusual move, the Parliamentary session will be doubled to two years, avoiding a vote on controversial legislation at the height of talks over the the UK's departure from the EU.
Britain announced it will begin its exit negotiations with the European Commission on Monday, June 19.
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However, Hammond, the Chancellor, will appear on the BBC's Andrew Marr Show on Sunday to argue for a softer Brexit with an emphasis on maintaining free trade links with the EU. In that address, May said Britain must leave the single market and customs union and she pledged an end to freedom of movement and ECJ jurisdiction.