Foreign office minister Alan Duncan supported Juncker's assessment, suggesting a deal would be in place before the end of the year.
Foreign Affairs Minister Simon Coveney has also said that a catastrophic "no-deal crashout" by the United Kingdom next March was not now likely and compromise can be achieved.
But there is still no agreement on some issues, including how to avoid new checks on the Irish border.
Officials in Brussels expect a fresh proposal from Britain on the Irish Border after an earlier London paper was rejected by European Union leaders. "But our will to reach an understanding with the British government is unbroken", Juncker was quoted as saying by Der Standard and Kurier and Der Falter.
The head of the European Commission has said the chances of a Brexit deal have increased in recent days.
A senior Whitehall source said: "This is gamesmanship by the EU".
Following Friday's news, sterling rose to a 10-week high of 88.19 pence against the euro.
"Although, if we have learned anything from Brexit it's that the timetable is incredibly flexible, to use diplomatic language", he told BBC Radio 4's Today programme.
Tory Brexiteers - who say Chequers would keep Britain too closely tied to the European Union after it has left the bloc - warmly welcomed Mr Tusk's comments saying they showed another deal was possible.
Some Labour MPs who were mentioned in the article took to Twitter to refute the claims. That's how it was in Salzburg, and that's also how we will work in the coming days.
The engagements come two weeks ahead of the crunch European Council summit in Brussels and amid ongoing uncertainty over whether a Brexit deal can be struck.
In Brussels, EU chief negotiator Michel Barnier stressed the need for a deal on the Border which did not disrupt the EU single market.
Speaking on BBC Radio 4's Any Questions, Sir Alan Duncan was also optimistic about the prospects of a deal.
Mr Tusk said the European Union remained "united behind Ireland" and the need to "preserve the Northern Ireland peace process".
Currently, thousands of people cross the border between Northern Ireland and the Republic of Ireland every day.
For the other type of checks, the regulatory ones, Britain would agree to simplified, light controls on goods going from the British mainland to Northern Ireland that would be carried out away from the actual border as much as possible, according to European Union sources describing the emerging proposal.
Britain wants to regulate the border through a broad agreement on post-Brexit trade ties with the EU.
But in the event that no deal is reached by the Brexit deadline, both sides agree there needs to be a "backstop" solution - which means a last resort plan - that would keep the Irish border open.
The home faithful implored their side to " attack , attack, attack " in the second half of Tuesday night's stalemate. Mourinho's contract with United runs until 2020, meaning sacking the Portuguese would mean a significant payout.
The airport was not shut down during the emergency response, and it's understood there were no delays to flights. One of the flight's pilots made a mayday call because the plane was low on fuel after a 15-hour flight.
While in Asia, Pompeo will also visit Japan, South Korea and China, State Department spokesperson Heather Nauert said. Nauert said the meetings in Japan, South Korea and China were meant to brief counterparts on the talks in Pyongyang.
NASA's Hubble and Kepler space telescopes have uncovered what could be the first moon outside our solar system ever found. Another possibility is that the moon , whatever its size, has moved away from its planet over the eons.
He then replied to it, writing: "The last several years have taught me that they are indeed reasonably maligned". The judge overseeing the case has asked Tesla and the SEC to write a joint memo justifying the settlement.
When it came to gender, men were most likely to buy fast food for lunch, while women would purchase it as a quick and cheap snack. And among high-income families (those with incomes above 350% of the poverty line), 42% dined on fast food on a typical day.
The youngest First Lady ever was Frances Folsom Cleveland, who was just 21 when she married President Grover Cleveland in 1886. Previous year he appeared to refer to a non-existent country called "Nambia" in a speech to ambassadors from the continent.
Arnold devised methods for reshuffling the genes that make enzymes, and then seeing which new recipes produced promising effects. Marie Curie remains the only woman to have won two Nobel prizes and the only person to be a laureate in two different sciences .
The minister said that these cases were initiated by NAB during the tenure of the PML-N government and then continued. After his detention, NAB officials sent away his auto and the private staff who accompanied him as security.
What was the cloture vote for? Three Republican women sat behind her in a clear show of support, not sitting in their usual seats. Mr Manchin, of West Virginia, represents a traditionally Republican state that Mr Trump won by a landslide.
Russian Federation signs S-400 missile deal with India: Ifax
Vladmir Putin is India on a two-day India visit. "But we have to complete this with the strengthening of economic ties". India also has intensified its defense ties with the U.S. in recent years with joint military drills and defense sales.
Man's doorstop turns out to be meteorite worth $100Gs
He then kept the meteorite with him for the next years, and even allowed his children to bring it to school for show and tell . A man has discovered a rock he's been using as a doorstop for 30 years is a meteorite worth more than $100,000.
Klopp admits Liverpool haven't figured out Man City formula
I think we had a lot of praise, too but for us, when you have a vision you start to compare - we should be so proud and we are. Pep Guardiola says possession and not giving the ball away cheaply is one way of stopping Liverpool's impressive strike trio.
India v West Indies: Virat Kohli hits 139 as hosts dominate
Only Sachin Tendulkar and Parthiv Patel were younger than Shaw when they got their maiden Test half-centuries, but not on debut. He is also the third batsman after Shikhar Dhawan (85 balls) and Dwayne Smith (93) to hit his debut ton in under 100 balls.