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 LevinA package proposal for repatriation Silencing of Warren another example of hyperpartisan Senate GOP going nuclear over Gorsuch might destroy filibuster forever MORE (D-Mich.) and ranking member Sen. John McCainJohn McCainFather of slain Navy SEAL wants investigation A stronger NATO for a safer world Drug importation won't save dollars or lives MORE (R-Ariz.) on an agreement to move forward on the defense authorization bill, S. 3254.

Sen. Rand PaulRand PaulConquering Trump returns to conservative summit Rand Paul rejects label of 'Trump's most loyal stooge' GOP healthcare plans push health savings account expansion 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.