According to British Prime Minister Theresa May, she has said "important progress" on Brexit was made at last week's EU summit - but Jeremy Corbyn said it sounded like "Groundhog Day".
The PM said she had a "degree of confidence" of making enough progress by December to begin trade talks.
However, she also stated that there would be no "physical infrastructure" on the border in Northern Ireland.
On the other hand, the EU Commission President dismissed a German newspaper's account of his dinner with the PM.
"Nothing is true in all of this," Jean-Claude Juncker said, rejecting the article's claims that PM May "begged for help" when they met and seemed tired and politically weak.
However, after five consecutive rounds of UK-EU talks, there has been no breakthrough in the first phase of the negotiations between the UK and the EU.
Meanwhile, the other 27 EU leaders at the summit, decided progress on the Brexit separation issues had not been "sufficient" to open talks on future trade relations with the UK yet - but they did agree to discuss future arrangements amongst themselves, paving the way for talks with the UK to possibly begin in December.
According to Theresa May, the question of citizens' rights after Brexit remained her "first priority", with a deal within "touching distance" and pledged that EU nationals living in the UK would not face "bureaucratic hurdles" after March 2019.
The UK was putting forward "ambitious and positive" proposals and her "clear commitments" on the thorny issue of the UK's financial settlement had helped moved talks forward, she said.
Under the proposed transition period as envisage by the Prime Minister, the UK would comply with EU law.
The proposed registration system would be the starting point for a post-Brexit immigration system under the proposals.
The European Parliament has a final veto on any Brexit deal, though day-to-day negotiations are conducted by the European Commission under the auspices of a mandate set by the Council.
The EU has so far refused to discuss any transition period until separation issues have been dealt with sufficiently - the Northern Ireland border, EU citizens' rights, and the divorce bill.
