Producer prices from Germany and current account from euro area are due on Tuesday, headlining a light day for the European economic news.

At 1.45 am ET, the State Secretariat for Economic Affairs is set to publish Swiss economic forecast.

At 2.00 am ET, Destatis is scheduled to issue Germany's producer prices for May. Economists forecast prices to rise 2.9 percent annually in May, following a 3.4 percent increase in April.

In the meantime, Statistics Finland releases unemployment data for May. The jobless rate was 10.2 percent in April.

At 3.30 am ET, Sweden's unemployment figures are due. The jobless rate is seen falling to 7.1 percent in May from 7.2 percent in April.

At 4.00 am ET, the European Central Bank releases euro area current account data for April. The surplus totaled EUR 34.1 billion in March.

At 8.00 am ET, Hungary's central bank announces its interest rate decision. The bank is expected to keep its key rate unchanged at 0.90 percent.

Also, Poland's industrial production and producer prices are due for May. Output is forecast to grow 5.1 percent on month and producer prices to gain 2.9 percent annually in May.

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