After a week of missteps, Irish nerves are steadying again, unmoved by British Prime Minister Theresa May's promise to go back to Brussels to renegotiate the Brexit deal.

The Irish government rejected any softening of the so-called backstop, immediately after Westminster on Tuesday backed May's proposal to strip it from the divorce accord with the bloc. The backstop is designed to keep the border with Northern Ireland invisible after Britain leaves the European Union.

Hints last week the EU might give ground to rescue the talks were wobbles rather than cracks in its united front, one Dublin official said.