Investors also awaited a key decision from the U.S. Federal Reserve on interest rates which is expected to be announced Wednesday afternoon.
The dollar index, which measures the greenback against six major peers, decreased 0.31 percent at 96.3320 in late trading.
In late New York trading, the euro rose to 1.1343 U.S. dollars from 1.1303 dollars in the previous session, and the British pound rose to 1.2739 dollars from 1.2722 U.S. dollars in the previous session. The Australian dollar fell to 0.6965 U.S. dollar from 0.7020 dollar.
The U.S. dollar bought 107.73 Japanese yen, lower than 108.33 Japanese yen of the previous session. The U.S. dollar was down to 0.9501 Swiss franc from 0.9568 Swiss franc, and it was up to 1.3394 Canadian dollars from 1.3363 Canadian dollars.
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