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Republican leadership aides say hope has waned since last Friday's vote that the Obama administration will be able to convince dozens of Democrats to flip sides. Republicans believe they have one choice: move ahead with TPA and then try and bring up TAA later.
Now Republicans are working overtime to convince pro-trade Democrats not to walk away from TPA even if it comes without TAA tied directly to it. Both Boehner and Ways and Means Chairman Paul Ryan have been reaching out to Democrats.
Republican leaders have been working behind the scenes to minimize concerns by assuring Democrats that TAA will get its chance on the floor again. The thinking is that if TPA moves forward alone, passes the Senate, and then is signed by the president, union groups will no longer have a reason to lobby against a trade-assistance bill that benefits workers.
"We all want to see this come together, where we have TPA and TAA," Democratic Rep. John Delaney said Wednesday. "If I see that there's a path for that happening that is reasonable and obtainable to me, then I think it's a good strategy and I'll support it." Another House Democrat backing the trade push, Rep. Gregory Meeks, wasn't wavering in his support. "It's too important not to pass TPA and TAA," he said Wednesday.
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Even the White House has not completely shut down the strategy.
"It's not clear to us here at the White House that a specific strategy has been settled upon by legislative leaders, who ultimately will be responsible for setting and implementing that strategy," press secretary Josh Earnest said when asked about House Republicans' separating out TAA and TPA. "The one thing that we have been clear about is that the only legislative strategy that the president will support is a strategy that results in both TPA and TAA coming to his desk. ... There are a variety of ways to do that."
Obama held White House meetings Wednesday afternoon with pro-trade Democrats in both chambers "as part of the administration's ongoing outreach on trade," according to a pool report.
After the meeting, Democratic Sen. Chris Coons said, "It was just vigorous discussion, and there is no clear solution in sight yet for what's the best path." Coons, along with fellow Democrat Sen. Tim Kaine, said he needs more assurances than he has right now that they'll be able to get TAA along with TPA.
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White House officials met with pro-trade Democrats Tuesday to discuss the best way to move trade. Then, in a rare showing of bipartisan cooperation between House Republicans and the White House, Boehner followed up with many of the same Democrats on Capitol Hill in hopes of building trust and shoring up their votes on TPA.
The heavy lift will be that even if Republicans can pass TPA out of the House without TAA attached to it, Senate Democrats remain skeptical of that approach. The two bills were interlocked intentionally in the Senate in order to win Democratic support. When asked earlier in the week if the Senate could pass TPA without TAA, Democrat Maria Cantwell simply said, "No, no, no."
This story has been updated with more reporting from the Hill.
Alex Brown and Alex Rogers contributed to this article