By Sara Sjolin, MarketWatch

LONDON (MarketWatch) -- European stock markets partly rebounded after a sharp prior-day selloff on Tuesday after Russian troops reportedly were called back to their bases, signaling an easing of tensions between Russia and Ukraine.

The Stoxx Europe 600 index rallied 1.1% to 334.14, partly recovering from a 2.3% slide on Monday.

The sharp decline on Monday came after the crisis in Ukraine intensified over the weekend, as Russian President Vladimir Putin got parliamentary approval to launch a miliary intervention on the country's southwestern neighbor.

The move was condemned by western powers. and U.S. President Barack Obama warned Russia could face costly sanctions unless it ends its occupation of Ukraine's Crimean region. Additionally, President of the European Council, Herman Van Rompuy, has scheduled an extraordinary meeting for EU leaders on Thursday to discuss the situation in the country. Later on Tuesday, U.S. Secretary of State John Kerry will visit Kiev to show support for the new Ukrainian government.

Tensions appeared to ease on Tuesday, however, after Russian troops sent on surprise military exercises in western and central Russia reportedly were ordered to return to their bases. The drills began last Wednesday, and some of them were near the Ukraine border, which triggered some concerns that Russia was building up for a massive incursion.

The move spurred optimism in the stock market, with both European indexes and U.S. stock futures on the rise, while gold and oil prices ticked lower.

Russia's MICEX index rallied 3.8% to 1,337.43, after tanking 11% on Monday.

Among other country-specific indexes in Europe, France's CAC 40 index gained 1.2% to 4,341.52, while Germany's DAX 30 index put on 0.8% to 9,437.08. The U.K.'s FTSE 100 index rose 1.1% to 6,781.81.

Shares of Ashtead Group PLC jumped 8.2% in London after the equipment-rental company reported a 54% rise in third-quarter pretax profit.

Shares of Glencore Xstrata PLC (GLCNF) put on 2.2% after the miner said it swung to a full-year loss, but that its closely watched adjusted earnings before interest and taxes rose 34%.

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