The European Union's chief negotiator Michel Barnier and his UK counterpart Lord Frost will resume in-person Brexit talks in London on Saturday.
Time is tight to secure a free trade deal between the two sides, with the transition period set to end in just over a month.
But Mr Barnier, arriving in London on Friday evening, told reporters that he would continue to work with "patience and determination" to reach an agreement.
Face-to-face negotiations were paused last week after one of the EU team tested positive for coronavirus.
Mr Barnier tweeted earlier on Friday that the "same significant divergences persist" between the UK and EU.
Pictures of the week: November 22 - 28
Pictures of the week: November 22 - 28
Artist Sian Bliss poses inside her installation named 'Aurora Arbour', towering above her is London's tallest LED Christmas tree featuring 100,000 lights, at the launch of Wembley Park's Christmas display, 'United in Light', Thursday Nov. 26, 2020. Bliss has based the design on the movements of a winter night's sky. (David Parry/PA via AP)
Fans stand atop a car to look over the boundary wall, watching the action during the English FA Cup first round match Barrow against Wimbledon, at the Progression Solicitors Stadium in Barrow, England, Thursday Nov. 26, 2020. (Zac Goodwin/PA via AP)
A plaque showing Argentina's Diego Maradona outside the National Football Museum in Manchester, England, Thursday Nov. 26, 2020. Tens of thousands of fans were lining up to say goodbye to Diego Maradona on Thursday at the Argentine presidential mansion staging the funeral of one of football's greatest stars. Maradona died on Wednesday of a heart attack where he recovered from a brain operation on Nov. 3. (AP Photo/Jon Super)
People gather to look out as the sun sets, by Chesterton Windmill, England, Thursday Nov. 26, 2020. The 17th-century cylindric stone tower Chesterton Windmill forms a striking landmark in the plain landscape. (Jacob King/PA via AP)
A man walks past a Stay Alert Save lives Rainbow sign in Soho during the second lockdown.
London will be placed in tier 2 restrictions when England�s national lockdown comes to an end as all not essential shops will be closed until 2nd December. (Photo by Pietro Recchia / SOPA Images/Sipa USA)
A Christmas lights sculpture stands backdropped by Tower Bridge, during England's second coronavirus lockdown, Thursday, Nov. 26, 2020. The visual effects in blue and white are to thank National Health Service (NHS) and key workers for all they did during this year's coronavirus outbreak. (AP Photo/Matt Dunham)
Supporters of WikiLeaks founder Julian Assange take part in a protest outside Westminster Magistrates Court in London, to support him in a administrative hearing for his extradition case, Thursday, Nov. 26, 2020. Assange was unable to attend or appear by video link today due to a COVID-19 outbreak at Belmarsh prison where he is being held. (AP Photo/Matt Dunham)
Two 16ft illuminated Marmots, 'Marmite' (left) and 'Meribel', which have been erected outside the Assembly Rooms in Alton, Hampshire, as part of the town's MarmART trail. (Photo by Andrew Matthews/PA Images via Getty Images)
Pro EU campaigners during a protest against a Brexit no deal near Parliament in London, Wednesday, Nov. 25, 2020. The European Union has committed to be "creative" in the final stages of the Brexit trade negotiations but warned that whatever deal emerges, the United Kingdom will be reduced to "just a valued partner," far removed from its former membership status. (AP Photo/Kirsty Wigglesworth)
London taxi driver Michael Harris, dressed as Santa Claus, who said he was in hospital with coronavirus for three weeks earlier in the year, poses for photographs in his cab parked outside Burlington Arcade, during England's second coronavirus lockdown in London, Wednesday, Nov. 25, 2020. With major COVID-19 vaccines showing high levels of protection, British officials are cautiously — and they stress cautiously — optimistic that life may start returning to normal by early April. (AP Photo/Matt Dunham)
Christmas lights are lit up at the Ritz London.
People are getting ready to go back to the 3 tiers system when a four-week lockdown in England comes to an end next week. (Photo by Pietro Recchia / SOPA Images/Sipa USA)
Larry the Cat sits in Downing Street, London. (Photo by Kirsty O'Connor/PA Images via Getty Images)
A person takes a photo of the skyline with the Shard building in the center, at sunset, from Greenwich Park in London, Tuesday, Nov. 24, 2020. (Yui Mok/PA via AP)
Christmas lights are lit up on New Bond Street in Mayfair, London, Tuesday, Nov. 24, 2020. Haircuts, shopping trips and visits to the pub will be back on the agenda for millions of people when a four-week lockdown in England comes to an end next week, British Prime Minister Boris Johnson said Monday. (AP Photo/Alberto Pezzali)
GREAT MISSENDEN, ENGLAND - NOVEMBER 24: A weather vane on a farm building close to the HS2 line on November 24, 2020 in Great Missenden, England. HS2 protesters continue to occupy key infrastructure sites along the proposed HS2 route claiming that the project is 'the most carbon-intensive and environmentally destructive project in UK history.' (Photo by Jim Dyson/Getty Images)
PRESTON, ENGLAND - NOVEMBER 24: Tyrhys Dolan of Blackburn Rovers celebrates after scoring their sides third goal during the Sky Bet Championship match between Preston North End and Blackburn Rovers at Deepdale on November 24, 2020 in Preston, England. Sporting stadiums around the UK remain under strict restrictions due to the Coronavirus Pandemic as Government social distancing laws prohibit fans inside venues resulting in games being played behind closed doors. (Photo by Nathan Stirk/Getty Images)
The Elizabeth Tower, which contains the bell known as the Big Ben, emerges from the trees in Westminster, in London, Tuesday, Nov. 24, 2020. Haircuts, shopping trips and visits to the pub will be back on the agenda for millions of people when a four-week lockdown in England comes to an end next week, British Prime Minister Boris Johnson said Monday. (AP Photo/Alberto Pezzali)
BURNLEY, ENGLAND - NOVEMBER 23: Burnley gnomes are seen in a house outside Turf Moor ahead of the Premier League match between Burnley and Crystal Palace at Turf Moor on November 23, 2020 in Burnley, England. Sporting stadiums around the UK remain under strict restrictions due to the Coronavirus Pandemic as Government social distancing laws prohibit fans inside venues resulting in games being played behind closed doors. (Photo by James Gill - Danehouse/Getty Images)
The 'Terrarium Tree' in Coal Drops Yard, which forms part of the King's Cross neighbourhood of London's unconventional 'traditionally untraditional' Christmas tree installations, stands illuminated during England's second coronavirus lockdown, Monday, Nov. 23, 2020. Haircuts, shopping trips and visits to the pub will be back on the agenda for millions of people when a four-week lockdown in England comes to an end next week, British Prime Minister Boris Johnson said Monday. (AP Photo/Matt Dunham)
Kelly Brook seen departing The Heart Radio Studios In London while holding flowers on her 41st Birthday dressed with an Emily in Paris theme. (Photo by Brett Cove / SOPA Images/Sipa USA)
Christmas trees adorn the Churchill Arms pub in Kensington, London, which is closed as England continues a four week national lockdown to curb the spread of coronavirus. (Photo by Yui Mok/PA Images via Getty Images)
A woman wearing a mask because of the coronavirus pandemic walks past masks displayed on mannequins in the window of a closed shop in Canterbury, southern England on November 23, 2020. - British Prime Minister Boris Johnson was to announce on Monday a major testing programme in areas with the highest coronavirus infection rates as the country re-enters a system of tiered restrictions. (Photo by Ben STANSALL / AFP) (Photo by BEN STANSALL/AFP via Getty Images)
New cars in a compound near Sheerness in Kent, negotiations between the UK and European Union on a post-Brexit trade deal have resumed, but ÒfundamentalÓ differences remain between the two sides. (Photo by Gareth Fuller/PA Images via Getty Images)
Pedestrians wearing face masks due to the COVID-19 pandemic, walk past Christmas-themed window displays inside Burlington Arcade in central London, on November 23, 2020. - Prime Minister Boris Johnson's latest plan is to roll out mass testing to the hardest-hit areas, hoping to make enough inroads to be able to relax social restrictions in time for Christmas. (Photo by Tolga Akmen / AFP) (Photo by TOLGA AKMEN/AFP via Getty Images)
CARDIFF, WALES, UNITED KINGDOM - NOVEMBER 23, 2020 - The Christmas market in Cardiff city centre as Welsh Government announces that tighter coronavirus restrictions could be implemented in Wales in the run-up to Christmas, aligning Wales with other parts of the UK. PHOTOGRAPH BY Mark Hawkins / Barcroft Studios / Future Publishing (Photo credit should read Mark Hawkins/Barcroft Media via Getty Images)
Magpies and crows surround a resting stag on the Ashton Court Estate, Bristol, England, Monday Nov. 23, 2020, during cold, crisp autumnal weather. (Ben Birchall/PA via AP)
Daniil Medvedev of Russia holds up the winners trophy as confetti falls after defeating Dominic Thiem of Austria in the final of the ATP World Finals tennis match at the ATP World Finals tennis tournament at the O2 arena in London, Sunday, Nov. 22, 2020. (AP Photo/Frank Augstein)
A pallet of changing colours as the sky lights up before sunrise at St Mary's Lighthouse in Whitley Bay, Tyne and Wear on the North East coast. (Photo by Owen Humphreys/PA Images via Getty Images)
LONDON, ENGLAND - NOVEMBER 22: In this image released on November 22, Dua Lipa performs onstage for the 2020 American Music Awards, broadcast on November 22, 2020 London, England. (Photo by Gareth Cattermole/Getty Images for dcp)
People walking on Tynemouth beach, as England continues a four week national lockdown to curb the spread of coronavirus, in Tyne and Wear, England, Sunday, Nov. 22, 2020. (Owen Humphreys/PA via AP)
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Talks have been deadlocked for months over the issues of fishing rights, the governance of any deal, and the "level playing field" conditions aimed at preventing unfair competition by cutting standards or increasing state subsidies.
Lord Frost called on Brussels on Friday to respect UK sovereignty.
Writing on Twitter on Friday, he said that while it was "late" to reach a deal an agreement was still "possible".
"Some people are asking me why we are still talking. My answer is that it's my job to do my utmost to see if the conditions for a deal exist. It is late, but a deal is still possible, and I will continue to talk until it's clear that it isn't.
"But for a deal to be possible it must fully respect UK sovereignty. That is not just a word – it has practical consequences. That includes: controlling our borders; deciding ourselves on a robust and principled subsidy control system; and controlling our fishing waters.
"We look to reach an agreement on this basis, allowing the new beginning to our relationship with the EU which, for our part, we have always wanted. We will continue to work hard to get it – because an agreement on any other basis is not possible."
Irish broadcaster RTE reported that Mr Barnier told Britain some weeks ago that the EU could accept 15-18% cut in its share of fishing rights in UK waters, but British officials were said to have immediately rejected the offer.
Prior to Mr Barnier's announcement there had been uncertainty about when the face-to-face talks would resume amid reports that he would only head to London if there was a significant shift in the UK's position.
The talks came as Downing Street said Boris Johnson "underlined his commitment" to reaching a Brexit deal that "respects the sovereignty" of the UK in a call with Irish Taoiseach Micheal Martin.
A Number 10 spokeswoman said the men spoke on Friday evening and discussed the progress in the UK-EU negotiations.
"The Prime Minister underlined his commitment to reaching a deal that respects the sovereignty of the UK. The leaders also reaffirmed the need to prioritise the Good Friday Agreement and avoid a hard border on the island of Ireland."