European Commission President Jean-Claude Juncker this week described the papers as "not satisfactory" and added that an "enormous amount of issues" must be resolved when talks restart this week, chiefly the size of the divorce bill.
'We believe we are in a good position and would like to move on to discuss our future relationship, ' a Number 10 spokeswoman said.
Echoing David Davis' calls for Brussels to show greater flexibility in its approach to Brexit discussions, the Prime Minister has repeated assertions that Britain is "in a good position" and ready to "move on" to negotiating its future trade and security arrangements with Europe.
"I would like to be clear that I did read with the requisite attention all the papers produced by Her Majesty's government; I find none of them truly satisfactory". Barnier, he said, had firm instructions from the other 27 governments on the phasing of talks, even if he accepted that some issues could not be fully settled without knowing how trade will work.
Talks resumed on Monday amid continued divisions over how much Britain must pay.
The EU wants to settle Britain's so-called Brexit divorce bill before talks begin on the new trade relationship with the UK.
Light, moderate rainfall expected in Mumbai today: Indian Metrological Department
In terms of records, this is said to be the eighth-highest amount of rainfall in a single day in Mumbai in the last four decades. More than 1,200 people have died across India, Bangladesh and Nepal in the worst flooding to strike South Asia in years.
"Now Labour agrees on keeping Single Market at least for transition, we'll have to vote against #euwithdrawalbill which begins second reading next week", Chris Leslie, an European Union campaigner and Labour lawmaker, said on Twitter. "I know that there is some partial overlapping between issues, but the European Council following up on the Commission's proposal has been crystal clear".
Meanwhile, Theresa May has insisted the United Kingdom is making the running in Brexit negotiations following criticism from Brussels about a lack of clarity from her government.
The spokeswoman said: "As David Davis said, we believe we need the European Union to show some more imagination and flexibility when it comes to these discussions".
The U.K.is set to leave the EU in March 2019 after the majority of the British voted in favor of the country leaving the union via a referendum past year.
He said, "We can't mix things up" and insisted "first resolve the past before imagining the future".
Although Brexit negotiating rounds are scheduled in week-long blocks, most British officials didn't arrive in Brussels until mid-morning on Tuesday and a concluding press conference is slated for Thursday lunchtime.