Prime Minister Rishi Sunak has hailed his deal on post-Brexit trading arrangements for Northern Ireland as a "decisive breakthrough".
Ednews.net reports citing BBC that many Conservative MPs, including those who supported Brexit, gave their backing to the agreement.
And the DUP, whose support will be key to restoring power-sharing in Northern Ireland, said there had been "significant progress".
But the party warned that "key issues of concern" remain.
DUP leader Sir Jeffrey Donaldson said his party would now study the legal text, before reaching a decision on whether to support the deal.
The party has boycotted the devolved government until its concerns over the Northern Ireland Protocol are resolved and some Tory MPs have said they will only support an agreement if it has the backing of the DUP.
Sinn Féin, which is the largest party in the Northern Ireland Assembly, welcomed the deal, although it said it still needed to examine the details.
The party's vice-president, Michelle O'Neill, repeated her call for the DUP to return to devolved government, adding: "We always said that with pragmatism, solutions could be found."