British Prime Minister Theresa May has admitted there are still issues to resolve around the withdrawal of the UK from the European Union.

She was speaking after holding talks with the European Commission President, Jean-Claude Juncker, in Brussels.

She told reporters: "There are some further issues that need resolution - we've given direction to our negotiators this evening.

"The work on those issues will start immediately.

"I believe we've given sufficient direction for them to resolve those remaining issues".

Mrs May will return to Brussels on Saturday for more talks - ahead of the crucial summit of EU leaders this Sunday, where they will be asked to "finalise and formalise" the Uk's withdrawal deal.

But despite hopes of signing off on a deal on Wednesday night, a European Commission spokesman said the talks were making "very good progress" and "work is continuing".

However, it remains uncertain whether Mrs May will be able to get the deal through the British Houses of Parliament.

The DUP, which is propping up her Westminster government, has called on Mrs May to "work for a better deal".

It also warned that her UK government "will require DUP support to deliver its domestic agenda".

No-deal Brexit still a possibility

Earlier, Mrs May has appeared to contradict herself over what will happen if British MPs reject her Brexit deal.

She was asked by former cabinet minister Esther McVey if Britain would leave the EU "come what may".

Mrs May said that "the United Kingdom will leave the European Union on 29 March 2019".

But earlier in the session, when asked what would happen if MPs vote down the deal, she replied: "If you look at the alternative to having that deal with the European Union it will either be more uncertainty, more division or it could risk no Brexit at all."

A Downing Street spokesperson later said Mrs May had been "clear on her determination" to leave the EU as scheduled.

When asked if no-deal was still a possibility, they replied: "Yes. The only thing certain is that if we don't go forward with an agreement is that there will be uncertainty - no deal on one hand, no Brexit on the other."

The apparently contradictory answers came after Work and Pensions Secretary Amber Rudd said parliament will not allow a "no deal" divorce to happen.

She also said in a BBC radio interview that "Brexiteers may lose their Brexit".

Additional reporting: Jack Quann