"A lot of work remains to be done", the European Commission, the EU's executive, said in a statement on Sunday evening.
When pushed on whether Boris Johnson's latest Brexit proposals could be similar to Theresa May's plan which he previously called "completely cretinous", Mr Rees-Mogg said: "We'll have to find out in a day or two whether I'll have to eat my words or not - time will tell".
Parliament will meet on Saturday and vote on any deal achieved by Mr Johnson at a Brussels summit this week.
If he succeeds, Britain will leave the bloc on October 31 with arrangements to minimize disruption at borders and preserve the complex supply chains that underpin swathes of the economy.
However, on Thursday, Mr Johnson and Irish Prime Minister Leo Varadkar held talks and said they could "see a pathway to a possible deal".
A crucial European Union summit, the last scheduled chance to strike a deal, begins Thursday. This would have the twin benefit of preventing a border on the island of Ireland and enabling the United Kingdom to strike trade deals around the world.
The UK Labour party said it would "wait and see" but would oppose anything "damaging". "But if Boris Johnson were to ask for extra time - which probably he won't - I would consider it unhistoric to refuse such a request".
Labour has said it would call a referendum on any deal on exiting the European Union - with the Welsh Government saying it would campaign to remain.
Ms Cherry continued: "It's important for us to remember that any Brexit is damaging to Scotland and the Brexit that Boris Johnson will deliver if he gets that deal will be the hardest of Brexits imaginable and it will lead to no freedom of movement in Scotland, no frictionless trade, lack of funds for regional development and cooperation on research and lack of working together on global challenges such as climate change on which our Scottish Government has lead so far".
The sides fear that controls on the 500-km (300-mile) border with Northern Ireland would undermine the 1998 Good Friday Agreement which ended three decades of sectarian conflict that killed more than 3,600 people.
French President Emmanuel Macron will hold a meeting with German Chancellor Angela Merkel in Paris on Sunday, days ahead of important talks among European Union leaders on Brexit, Trend reports citing Sputnik.
Johnson will offer the three leaders the option to either help him deliver a new deal this week, or to agree on a friendly version of a no-deal Brexit by October 31, the newspaper said, citing a source familiar with the conversations.
Since becoming prime minister, Johnson has yet to win a vote in parliament and, after kicking 21 lawmakers out of his party for not backing his Brexit plans, is well short of a majority.
That leaves Johnson's hopes pinned to a group of Labour rebels and the small party which notionally keeps him in power, Northern Ireland's Democratic Unionist Party.
Pressed on the DUP's Westminster leader Nigel Dodds speaking out against rumours of the details of the Prime Minister's plan on social media, Mr Rees-Mogg said: "The Prime Minister is Minister of the Union and is deeply and personally committed to ensuring the union is robust and prosperous".