Senators began a new effort to end the 34-day partial government shutdown after blocking two rival spending bills. The White House signaled President Donald Trump was open to a plan to reopen agencies for three weeks, but at a price. "The three-week CR would only work if there is a large down payment on the wall,\u201d White House spokeswoman Sarah Huckabee Sanders said Thursday, referring to a stopgap spending bill and the president\u2019s demand for $5.7 billion for a wall at the southern border. Senate Majority Leader Mitch McConnell and Minority Leader Chuck Schumer met privately in McConnell\u2019s office to discuss a path forward, and Schumer came out later, smiling. \u201cWe\u2019re talking, we\u2019re talking,\u201d he said. But a Schumer spokesman, Justin Goodman, said on Thursday night that the minority leader \u201cand Senate Democrats have made clear to Leader McConnell and Republicans that they will not support funding for the wall, prorated or otherwise.\u201d In the House, Speaker Nancy Pelosi told reporters the idea of Trump wanting a down payment for a wall is \u201cnot a reasonable agreement.\u201d House Democrats plan to offer a proposal Friday morning to boost border security, but not build a wall. GOP Senator Lindsey Graham of South Carolina said he hoped a deal could be reached after he spoke with the president about a bipartisan proposal to fund the shuttered federal agencies for three weeks. He said such a measure would have to contain additional provisions to satisfy both sides: funding for a "wall\/barrier" to please Trump and disaster aid to please Democrats. \u201cIf we can get in a room, we can fix this, and it won\u2019t take three weeks,\u201d Graham said. Trump told reporters at the White House that if a stopgap spending bill passed without wall money, "I wouldn\u2019t be happy. But we have a lot of alternatives." Two Proposals Earlier Thursday, the Senate rejected two proposals - one by Trump and one by Democrats - intended to reopen the government. They were the first votes the Senate has taken on funding the government since the Dec. 22 start of the shutdown, now the longest in modern U.S. history. \u201cWe will not Cave!\u201d Trump tweeted a few hours before the votes. At the same time, a bipartisan group of 16 senators - eight from each party - took to the chamber\u2019s floor to say they want to reopen the government for three weeks to allow time for work on a bipartisan border security deal. "I think we can do this together," said Republican Senator Lisa Murkowski of Alaska, a leader of the effort. "But we can\u2019t do it with the government shut down.\u201d The Democratic proposal to reopen the government attracted two more votes than the Trump-backed Republican plan, but both fell well short of the 60 needed to advance.The Democratic measure would have reopened agencies until Feb. 8 to allow talks on a border security plan but wouldn\u2019t have funded a wall. Trump\u2019s proposal would have spent $5.7 billion on a border wall. Six Republicans voted to advance the Democratic bill: Lamar Alexander of Tennessee, Susan Collins of Maine, Cory Gardner of Colorado, Johnny Isakson of Georgia, Murkowski and Mitt Romney of Utah. Three senators, two Republicans and a Democrat, were absent. Just last month, the Republican-controlled Senate had backed the Democratic measure by voice vote before Trump suddenly opposed it, triggering the closure. State of the Union The president late Wednesday acquiesced to Pelosi\u2019s cancellation of his planned Jan. 29 State of the Union address in her chamber until the government reopens. The Treasury Department, Department of Homeland Security and Environmental Protection Agency are closed as Trump fights for his 2016 campaign promise to build a wall at the border with Mexico. In advance of the votes, McConnell called Trump\u2019s plan a \u201cpragmatic compromise that could end this impasse right away" by getting the president\u2019s signature. He said the Democrats\u2019 temporary measure creates the possibility of a new crisis in several weeks when funding expires. Schumer said Trump\u2019s proposal was a \u201charshly partisan\u201d plan that would give the president all he wants before reopening the government. The Democratic proposal would reopen federal agencies and allow time for negotiations over border security, he said. The pain inflicted by the shutdown is \u201cgetting deeper and deeper every day,\u201d with 800,000 federal employees set to miss another paycheck on Friday, Schumer said. Explaining the Longest-Ever U.S. Government Shutdown: QuickTake Trump\u2019s proposal faced strong objections from Democrats who oppose the wall and the plan\u2019s changes in immigration law including new limits on asylum claims by Central American minors. It would have temporarily protected some young undocumented immigrants from deportation. The White House had said Trump would veto the Democratic measure, which was previously passed by the House. Overcoming a veto would require two-thirds majorities in the House and Senate, and votes so far have shown support well below that amount.