At 5:00 am ET Tuesday, consumer prices and unemployment reports are due from Eurozone. Harmonized consumer prices are forecast to drop 0.1 percent on a yearly basis in May following a 0.2 percent fall in April. The jobless rate is expected to remain at 10.2 percent in April.

The euro traded mixed against the other major major currencies before the data. While the euro dropped against the greenback, yen and the franc, it rose against the pound.

The euro was worth 1.1130 against the greenback, 123.54 against the yen, 1.1035 against the franc and 0.7617 against the pound as of 4:55 am ET.

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