The dome of the US Capitol is reflected in a window as people visit the Washington Monument on November 2. Kent Nishimura/Reuters

Several Senate Democrats are signaling a willingness to vote to reopen the government if they secure some final key concessions from the White House, a sign that a major breakthrough could be within reach amid the longest shutdown in US history, according to a person involved in the talks.

The emerging deal would include a stopgap measure to extend government funding until January and be tied to a larger package to fully fund several key agencies.

The deal would not include an extension of the expiring enhanced Affordable Care Act subsidies — a key Democratic demand — but it would guarantee a vote in the Senate on the issue at a later date.

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