There had been a “constructive dialogue” between the DUP and the government, said the party’s deputy leader, Nigel Dodds following his talks with the attorney general and ministers.
He added that the talks would continue to also focus on the issue of the so-called ‘Stormont Lock’ and how it can be provided for.
The lock in question relates to a series of assurances on Northern Ireland and its place in the UK, which the government published in January.
Those commitments give a restored Northern Ireland Assembly at Stormont - which has not sat for two years - a say on any future laws that the European Union may pass if the backstop comes into force.
A government paper promised that this “Stormont lock” on the backstop would be a legally binding commitment.
However, the DUP immediately rejected the paper when it was first put forward in January, dashing hopes that the party would get behind May for the first vote on her Brexit deal.