Republicans have expressed concern over the treaty, saying they don’t want international treaties writing U.S. law. But advocates for the treaty have said it’s based on the American Disabilities Act, granting people with disabilities equal rights, meaning U.S. law already follows the treaty.

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Democrats have indicated  they’d be open to amendments to the treaty, which would require countries that adopt it to equalize access for people with disabilities.

Reid also said the Senate would proceed to S.676, a bill to amend the Act of June 18, 1934, to reaffirm the authority of the secretary of the Interior to take land into trust for Indian tribes, sometimes called the “Carcieri Fix,” on Wednesday.

Reid said if cloture is not invoked on the motion to proceed to the "Carcieri Fix" bill Wednesday, he’d continue to work with Senate Armed Services Committee Chairman Carl LevinCarl LevinTrump's crush on foreign autocrats threatens democracy at home OPINION: Congress must press forward with its Russia investigation Democrats and Republicans share blame in rewriting the role of the Senate MORE (D-Mich.) and ranking member Sen. John McCainJohn McCainCoats: Trump seemed obsessed with Russia probe The Hill's Whip List: Senate ObamaCare repeal bill Meghan McCain slams 'felon' Dinesh D'Souza over tweets mocking father's captivity MORE (R-Ariz.) on an agreement to move forward on the defense authorization bill, S. 3254.

Sen. Rand PaulRand PaulOvernight Cybersecurity: Trump tweetstorm on Russia probe | White House reportedly pushing to weaken sanctions bill | Podesta to testify before House Intel Rocky rollout for Senate healthcare bill Overnight Healthcare: Latest on Senate healthcare bill | Four conservatives say they'll oppose | Obama slams bill | Health groups offer scathing criticism MORE (R-Ky.) is filibustering the defense bill, which would set defense policy and authorize more than $600 billion in Pentagon spending, until he gets a vote on his amendment limiting indefinite detention.