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 LevinSenate about to enter 'nuclear option' death spiral Devin Nunes has jeopardized the oversight role of Congress Ted Cruz wants to destroy the Senate as we know it MORE (D-Mich.) and ranking member Sen. John McCainJohn McCainSenate braces for fallout over Supreme Court fight Republicans seek to lower odds of a shutdown Nunes endures another rough day MORE (R-Ariz.) on an agreement to move forward on the defense authorization bill, S. 3254.

Sen. Rand PaulRand PaulTrump: 'No doubt' we'll make a deal on healthcare Overnight Defense: General says US strike probably led to civilian deaths | Tillerson to push NATO on spending | Trump taps F-35 chief Senate backs Montenegro's NATO membership 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.