"I am doing everything to have a deal because I don't like the idea of a no-deal because I think this would have catastrophic consequences for at least one year", Juncker said in an interview segment released Thursday.
"There is a common objective in Dublin, London and Brussels to see a deal over the line". "The meeting overran, which signals we were getting into the detail".
The GBP/USD pair failed to capitalize on these comments and was last down 0.25% on the day at 1.2493.
There will be no Brexit deal without an Irish backstop, European Union officials repeat on every occasion of Brexit talks.
"This was a rather positive meeting, although the British press was reporting it in the other way, we can have a deal".
European Commission President Jean-Claude Juncker told Sky News on Thursday "we can have a deal".
These would include "the management of civil unrest", he said.
"I think the mood music has improved", Coveney told BBC radio. "But there is an intent I think by all sides to try and find a landing zone that everybody can live with here".
The Cabinet minister said "of course we will abide by the law" but he added "we will look at it closely and test exactly where we are" - the latest sign that the Government is examining ways around its measures.
Sources in Brussels said that in response the point was being made forcefully to the British negotiating team that all proposals would need to be made available for the EU's capitals to analyse for talks to progress. The aim is to avoid the return of a physical border between the EU Member State of Northern Ireland and the Republic of Ireland.
He said his lunch with Boris Johnson this week had been "positive" and the idea of keeping Northern Ireland in step with European Union food and agriculture rules, while the United Kingdom diverges, was "the arrival point" of a deal.
According to a European source, the Brexit timetable will also be discussed at a meeting between British Prime Minister Boris Johnson and Juncker on the margins of the UN General Assembly in NY next week.
Coveney's remarks suggest the UK and EU are nowhere closer to agreeing a new Brexit deal ahead of a United Nations meet-up in NY next week where Brexit is set to be one of the talking points for European leaders in attendance.
He said the Prime Minister had shown he was willing to be "creative and flexible" by considering an all-Ireland approach to plant and animal checks and suggested that it was now for the European Commission to shift its stance.