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Before a two-day European Union summit starts on Wednesday evening, May showed no sign of backing away from her Brexit plan.
May has repeatedly ruled out holding a second referendum following the vote two years ago to leave the EU.
Britain voted for Brexit in June 2016, but May has so far been unable to present a common position to Brussels on what she wants because of deep divisions in her government.
Prime Minister Theresa May on Monday hailed the deal struck on the first stage of Brexit talks, saying it proved Britain could leave the European Union in a "smooth and orderly way".
Britain voted with 52 per cent in favour of leaving the European Union in a referendum last year.