The Ukrainian leader has said he and the US president will discuss several issues, including land and security guarantees.
Here, Sky News looks at the major issues they are likely to discuss as a 20-point peace framework and security guarantee deal appear to be close.
Ukraine war latest: Zelenskyy hoping for 'very constructive' talks
What can we expect from the talks?
Mr Zelenskyy has said the 20-point plan to be discussed "is about 90% ready" and that "a lot can be decided before the New Year".
He said security guarantees and an "economic agreement" will also be discussed, but he did not say "whether anything will be finalised by the end".
Ukraine will also raise "territorial issues", he added.
What security guarantees could be agreed?
Mr Zelenskyy has said he will prioritise discussing security guarantees for Ukraine, adding that these depend on Mr Trump and "what he is ready to give, when he is ready to give it, and for how long".
Earlier this week, he told Axios the US had offered a 15-year deal on security guarantees, subject to renewal, but Kyiv wanted a longer agreement with legally binding provisions to help guard against future Russian aggression.
Mr Trump has said the United States is the driving force behind the process and told Politico: "He doesn't have anything until I approve it. So we'll see what he's got."
Mr Zelenskyy has said Ukraine and the US had a "common vision" for co-operation on Ukraine's post-war recovery, which included the creation of several investment funds.
The US has committed to providing guarantees mirroring NATO's Article 5, which means an attack on Ukraine would trigger a collective military response from the US and its allies - but key details remain.
Why is territory a major sticking point?
Territorial issues remain a major sticking point in the negotiations.
Mr Zelenskyy has said he will discuss both Donbas and the Zaporizhzhia nuclear power plant in the talks, but stressed Ukraine would never recognise any territory as Russian "under any circumstances".
Moscow has demanded Ukraine withdraw from parts of the eastern Donetsk region, which Russian troops have failed to occupy during almost four years of war, as it seeks to gain full control of the Donbas, which comprises the Donetsk and Luhansk regions.
However, Kyiv has argued the fighting should be halted along the current frontlines.
Seeking a compromise, the US has proposed a free economic zone if Ukraine leaves parts of the Donetsk region - but the proposal gives no details on how such a zone would function.
Axios cited Mr Zelenskyy saying if he is not able to push the US to back Ukraine's "strong" position on the issue of land, he is willing to put the 20-point plan to a referendum - as long as Russia agrees to a 60-day ceasefire to allow Ukraine to prepare for and then hold the vote.
According to Russia's Kommersant newspaper, Mr Putin told some of Russia's top businessmen he might be open to swapping some territory controlled by Russian forces elsewhere in Ukraine, but he wanted the whole of the Donbas in exchange.
Nuclear power plant issue remains unresolved
Another unresolved issue is the Zaporizhzhia nuclear power plant, which has been under Russian control since early in the war.
Although almost all countries consider that the plant, Europe's largest, belongs to Ukraine, Moscow claims it is owned by Russia and a unit of Russia's state-owned Rosatom nuclear corporation runs it.
Mr Zelenskyy has said the US side has proposed joint trilateral operation of the plant between the US, Ukraine and Russia.
But he said the Ukrainian proposal envisages Ukrainian-American use of the plant, with the US determining how to use 50% of the energy produced.
Oleksandr Kharchenko, the director of the Energy Research Centre in Kyiv, said Moscow intends to use the plant to cover a significant energy deficit in Russia's south.
He said it would take Ukraine five to seven years to build the generating capacity to compensate for the loss of the plant.
What has Russia said?
Russian President Vladimir Putin has claimed Moscow can see Kyiv is in no hurry to end the conflict by peaceful means, according to the Interfax news agency.
Mr Putin said if Ukraine does not want to resolve the conflict peacefully, then Russia will accomplish all goals of its "special military operation" by force, Russian state news agency TASS reported.
It came after Russia launched a massive drone and missile attack on Ukraine overnight, which Mr Zelenskyy said demonstrated Moscow wanted to continue the war while Kyiv wanted peace.
Mr Trump has said he believes the meeting on Sunday will go well, and he also expects to speak with Russian President Vladimir Putin "soon, as much as I want".
The players were led out by Liverpool defender Virgil van Dijk to applause from fans on both sides.
Jota had a successful spell at Wolves before he joined Liverpool in 2020.
The Portugal forward was tragically killed, along with his brother Andre Silva, on 3 July in a car crash in Spain.
On Boxing Day night, Wolves attended tributes to the late footballer outside Anfield, laying down floral tributes to the star.
Liverpool boss Arne Slot turned his attention towards the footballer's family ahead of the game.
Writing in his matchday programme notes, Slot reflected on the past 12 months, which the Dutchman admitted "ignites a roller coaster of emotions" as he reflected on everything that has happened.
Slot said: "Doing so leads me to think especially of the family of Diogo Jota on what will be their first Christmas without him.
"It is not my place to tell them where they should look for comfort - if that is even possible - but I can only hope that the feeling of love and affection that Diogo still generates brings them some solace.
"The sense of loss will be particularly strong on Saturday, of course, as it will be the first time that Diogo's two English teams will meet since his tragic passing.
"Like us, Wolves were clearly very affected by the loss of such a special player and person so my thoughts continue to be with them also."
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Former Liverpool manager Jurgen Klopp also paid tribute to Jota ahead of the game.
Klopp told the Observer: "When I first met him properly, that spark was obvious straight away. Of course, he was a top footballer; we all saw that at Wolves.
"His movement, his finishing, his intelligence, his work-rate was elite. But what really caught my eye was the hunger, the humility.
"He didn't need to announce himself. He just worked. He listened. He tried to make the team better.
"And when I looked at Liverpool in 2020, I thought: 'We need this guy.' Not only for his football, but for his character."
Forecasters had predicted up to 11in of snow by 1pm Saturday, with the heaviest accumulation expected in the northern parts of the New York City and New Jersey metro areas.
By Saturday morning, New York City had received around four inches of snow - slightly below expectations - and the skies were beginning to clear.
Still, the storm has already caused significant disruptions to holiday travel, with at least 1,500 flights canceled since Friday night, according to the flight-tracking service FlightAware.
John F. Kennedy International, Newark Liberty International, and LaGuardia Airports issued snow warnings on social media, cautioning that weather conditions could lead to further flight disruptions.
New York and New Jersey were put under states of emergency.
New York City Mayor Eric Adams posted on X, saying, "That white stuff is coming, NYC! We're ready for however much we get."
He later shared a post showing the salt spreaders and snowploughs out in force, treating the city streets.
The last time the Big Apple experienced heavy snowfall was in 2022, when 8in of snow fell in Central Park.
New York governor Kathy Hochul said in a statement on Friday: "I encourage everyone to monitor local forecasts and avoid unnecessary travel. If you have to travel, plan ahead, take it slow, and leave plenty of time to get to where you need to go safely."
New Jersey governor Tahesha Way wrote on X on Friday: "Due to the severe snowstorm, with the potential of icy and slippery conditions, I have declared a State of Emergency across the state, beginning this afternoon.
"Please monitor official updates and remain off the roads unless necessary. Stay safe, New Jersey!"
The New York City area was expected to see between 2in and 5in of snow, with some areas seeing 6in towards the north, according to the National Weather Service.
Six to 11in of snow was predicted from upstate New York to Long Island, with 12in possible, the National Weather Service had said.
New York's Department of Sanitation has prepared 700 million pounds of salt to treat icy roads.
The impact of the cold snap has been felt at airports across the country.
San Francisco and Orlando experienced travel delays, as snow began falling on Friday at Newark Liberty International Airport.
Airports in Florida have also seen hundreds of delayed flights, according to Sky's US partner NBC News.
At Mammoth Mountain Ski Area, a resort southeast of Yosemite National Park, two ski patrollers were injured Friday morning in an avalanche and taken to a hospital, a resort official said. The resort has seen more than 5ft (1.5m) of snow since Tuesday.
As much as 2ins (5cm) of snowfall an hour was expected in the Sierra Nevada, making mountain pass travel treacherous.
Local officials rescued a backcountry skier who was buried in an avalanche Thursday near the Mount Rose ski resort on the edge of Reno.
Mahad Elmi, 27, is on the run after escaping from HMP Spring Hill in Buckinghamshire, Thames Valley Police said.
The incident occurred overnight from Thursday into Boxing Day, when Elmi absconded from the open prison, near the village of Grendon Underwood.
HMP Spring Hill, which houses over 300 inmates, is a Category D facility with "minimal security" that allows eligible prisoners to spend much of their day away from the prison on licence for work, education, or resettlement activities.
Thames Valley Police described Elmi as a "black man, around 5ft 8ins tall, of medium build, with medium-length black hair, a beard, and brown eyes".
He is known to have connections to southwest London.
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The force said Elmi "no longer has any authority or lawful licence to be in the community and is therefore considered unlawfully at large".
Detective Sergeant Matthew French, from Buckinghamshire's Priority Crime Team, said: "We are appealing for the help of the public to trace Mahad Elmi, who is unlawfully at large after leaving and not returning to HMP Spring Hill.
"If you see Elmi, do not approach him and call 999 instead."
Metropolitan Police officers arrested Abdel Dedour on Boxing Day after a two-week manhunt following the murder of 15-year-old Adam Henry.
The teenager was fatally stabbed in Islington around 1pm on 9 December, the force said.
Officers and paramedics from the London Ambulance Service attended and Adam was taken to hospital, where he died.
The force said it made five arrests at an address in northwest London on Boxing Day.
As well as Dedour, three men and a woman, aged between 18 and 47, were detained for assisting an offender.
The woman, aged 47, was further arrested after an assault on a police officer while one of the three men, aged 39, was further arrested for domestic violence and driving offences.
All five remain in custody.
Adam's family are being supported by specialist officers, the Met said.
"Our thoughts remain with Adam's loved ones throughout this unimaginably difficult time," said Detective Chief Inspector Allam Bhangoo, who is leading the investigation.
"There is no place for senseless acts of violence on our streets - and those responsible for such crimes should be brought to justice.
"My dedicated team have worked tirelessly over the last few weeks."
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Tsidi Winion, 20, of Handyside Street, in Camden, was charged with murder and possession of an offensive weapon on 15 December and faces trial next year.
Adam's family described the teenager as "good-natured and loyal".
In a statement after his death they said he had many interests and was "always there with a smile and cheeky sense of humour".
"He was a loving son, brother, nephew, grandson, friend and we will never recover from the loss and not having him in our lives."