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 Levin'Nuclear option' for Supreme Court nominees will damage Senate McCain's Supreme Court strategy leads to nuclear Senate The Fed and a return to banking simplicity MORE (D-Mich.) and ranking member Sen. John McCainJohn McCainRepublicans tie Trump's Defense pick to funding fight Lawmakers haggle over funding bill as shutdown nears Markos Moulitsas: Kill the filibuster MORE (R-Ariz.) on an agreement to move forward on the defense authorization bill, S. 3254.

Sen. Rand PaulRand PaulGOP rep: Trump has 'extra-constitutional' view of presidency The ignored question: What does the future Republican Party look like? Rand Paul skeptical about Romney as secretary of State 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.