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Top European Union officials on Tuesday ruled out any renegotiation of the divorce agreement with Britain as Prime Minister Theresa May launched her fight to save her Brexit deal by lobbying leaders in Europe's capitals.

May began her quest over breakfast with Dutch counterpart Mark Rutte, a day after she abandoned a vote in the U.K. Parliament to secure support for the agreement thrashed out with the EU over more than a year, sensing that it would be rejected in London "by a significant margin."

While May made no public comment as she met Rutte in The Hague, European Commission President Jean-Claude Juncker warned that the Brexit agreement cannot be re-opened for negotiation at a summit of EU leaders on Thursday, but he did say that elements of the deal could still be clarified.

"There is no room whatsoever for renegotiation," Juncker told EU lawmakers in Strasbourg, France, as he briefed them on the summit.

Juncker, who is set to meet May on Tuesday evening, underlined that "the deal we have achieved is the best deal possible. It is the only deal possible."

But he added that "if used intelligently, (there) is room enough to give further clarification and further interpretations without opening the withdrawal agreement."

EU leaders have often supplemented agreements with political declarations that clarify their interpretation of elements of an accord or provide assurances about how parts of any deal might work.

In Brussels, Danish Foreign Minister Anders Samuelsen also said that EU countries might be willing to clarify parts of the deal.

"It is always a political option to clarify if that is needed, what is meant, what kind of underlining is needed," Samuelsen told reporters.

One of the main sticking points since the Brexit talks began has been how to keep goods flowing between Northern Ireland in the U.K. and EU member country Ireland, and May is sure to seek flexibility on this from her European partners.

But Juncker said that the so-called "backstop" — an insurance arrangement to ensure that no hard border appears after Brexit on March 29 — must remain, even though it was never meant to be used.

"We have a common determination to do everything to be not in the situation one day to use that backstop, but we have to prepare," he said, and underlined that "Ireland will never be left alone."

The European Parliament's Brexit point man, Guy Verhofstadt, noted that with the canceled vote in London "we have spiraled again into a new mess," and he supported Juncker's message.

"Whatever the request may be we will never let down our Irish friends. It is out of the question to renegotiate the backstop," Verhofstadt said.

If the Brexit agreement is accepted by the U.K. Parliament, it must still be endorsed by the European Parliament before March 29.

May also travels Tuesday to Berlin for talks with German Chancellor Angela Merkel and to Brussels for meetings with Juncker and EU Council President Donald Tusk, who will chair Thursday's summit.

A senior German official said May won't get any pledge of new negotiations while in Berlin. And he stressed that the chief negotiators were in Brussels, not the German capital.

Asked as he arrived at a meeting in Brussels what May can expect from Merkel, Deputy Foreign Minister Michael Roth replied: "I hope they will wish each other Merry Christmas, strength and all the best for the new year. It's good to speak to each other, but there will certainly be no promises of any kind that we will reopen matters now and renegotiate."

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Cook reported from Brussels. Geir Moulson in Berlin contributed.