There is increasing optimism of deal being struck to end the current U.S. government shutdown and raise the federal debt ceiling.
According to U.S. media, the deal currently under discussion would fund the government until 15 January while raising the debt ceiling until early to mid-February.
Senate leaders have expressed optimism that a deal could be struck but any deal would also need to pass the House of Representatives.
Senate Democratic Majority Leader Harry Reid told the chamber on Monday: "We've made tremendous progress... perhaps tomorrow will be a bright day."
Tokyo stocks closed up 0.26 percent on the news.
The U.S. must raise its $16.7 trillion borrowing limit by Thursday.
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