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By Madeline Halpert in New York & Jessica Parker in Kyiv
BBC News
Ukrainians remain hopeful that the US Congress will approve new military funding for the country by the end of the year, despite Senate Republicans blocking a package on Wednesday.
Republicans opposed the bill because it did not also include the US border security measures they sought.
Little time is left to negotiate with Congress going home in a week.
But Ukrainians remained publicly optimistic that American lawmakers could still come together.
Oksana Markarova, the Ukrainian ambassador to the US, said in a Facebook post that her office continues to work actively with Congress. She said she hoped that lawmakers would approve by Christmas a package that "will include defense, budget, humanitarian and energy aid for Ukraine".
The Senate is set to break for a holiday recess on 15 December and negotiations between Democrats and Republicans in the Senate are at a standstill. Any bill would also have to be approved by the Republican-controlled House of Representatives, which has proved hesitant to support Ukraine.
The $110bn (£87.3bn) package proposed by President Joe Biden included $61bn for Ukraine, as well as funds for Israel and aid for Gaza.
The bill also included billions of dollars for increased border security.
But as migrant crossings at the US-Mexico border have reached near-record highs, Republican lawmakers have pushed for sweeping US immigration reforms. Their proposal would include more restrictions on those applying for asylum and resumed construction of a border wall.
The Senate vote did not come as a shock to Ukrainian officials, who were aware of Republican concerns.
But the failed aid package "does not eliminate the possibility of re-introducing the bill to the vote in the near future", Ms Markarova wrote on social media.
Despite the outward assurances, there are deepening concerns in Kyiv that vital military funding has become entangled in the contentious US border debate.
The impasse in Washington comes at a crucial time for Ukraine as its counter-offensive against Russia has stalled.
The White House and Ukrainian officials have warned that US funds for Kyiv are running out. The officials and outside experts appear to agree that Kyiv could lose the war without them.
An end or significant curtailment of American military support would likely allow Russia to win, a recent analysis by the Institute for the Study of War warned.
Despite the failed vote, Ukraine plans to remain composed and "firm", said Oleksiy Danilov, the secretary of the National Security and Defense Council of Ukraine.
"Regardless of who, where and how they voted in any country in the world, we will not stop defending our country, we will not give up a single piece of our land and we will not forgive anyone killed or injured," he wrote on X. "We will focus ... reload our weapons and continue to destroy the [R]ussian monster."
Ukraine may have to, as the mood on Capitol Hill remained grim.
One of the Republican senators who opposed the package, South Carolina's Lindsey Graham, said he did not believe a new package would be possible before the upcoming recess.
Mr Graham said President Joe Biden would need to negotiate more. "It's going to take his leadership or we are stuck," he said.
Earlier on Wednesday, Mr Biden said he was "willing to make significant compromises on the border" in order to get the aid bill passed.
"This cannot wait," he said, adding that "Republicans in Congress are willing to give Putin the greatest gift he could hope for".
As Senate Democrats expressed frustration with their Republican colleagues over the vote, Senate Majority Leader Chuck Schumer expressed some scepticism over whether a new package could be approved before the break.