Mr Coveney said a deal was "do-able" but there were differences between the parties that needed to be bridged.
Simon Coveney has said that the Irish government will "spare no effort" in the process to restore power-sharing in Northern Ireland.
"I am looking forward to travelling to Downing Street today to meet the British Prime Minister, Theresa May", he said.
This was Mr Coveney's first visit to Stormont as Minister for Foreign Affairs.
"I think there is a sense of urgency here that Northern Ireland needs its own voice, in the context of Brexit in particular, as well as so many other issues that need to be resolved, and that without that voice people in Northern Ireland will be disadvantaged in a major way and will be essentially relying on others to make the case for them", he said. "The stress levels I've met already from the people, both last night and this morning, they're just frightened, they're just frightened that something like this could happen again" said Corbyn, "the only way to deal with kind of issue is communities coming together".
British Prime Minister Theresa May's Conservative Party is confident of securing a "sensible" deal with the small Northern Irish Democratic Unionist Party (DUP), Transport Secretary Chris Grayling said on Tuesday.
Declan Kearney, the party's chairman, said a DUP focus on Ms Foster's future role at Stormont "is completely misdirected and premature".
Woman hangs by her teeth over Niagara Falls!
It was a little more windy than I expected it to be, but then I just put myself back in my backyard where I train all the time. As promised, Erendira Wallenda balanced from a hoop dangling from a helicopter high above #NiagaraFalls on Thursday.
In a tweet which has unsurprisingly gone viral, a reporter for Sky News Australia confirmed that not only did they think Sinn Féin was an actual person, but that he was also a member of the DUP.
Senior DUP representative and former Stormont minister Simon Hamilton also struck a positive tone during a day that saw the first round table plenary session of a talks process that started last week.
"I'm a Northern Ireland native journalist and can't find full time paid work, but someone at Sky News Australia thinks Sinn Fein is a person", wrote Twitter user Aoife-Grace Moore.
Jeremy Corbyn, leader of Britain's main opposition, said his Labour Party would not support the Queen's speech to try to force her out of power through a vote of no-confidence.
Ireland's communists were engaged in a series of discussion forums with disillusioned Irish republicans, Mr McCartan revealed, arguing for "people's anti-imperialist politics" as the alternative to both Sinn Fein reformism and a return to militarism.
With May's electoral gamble backfiring, does she still have a mandate?
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