By Sara Sjolin, MarketWatch

LONDON (MarketWatch) -- European stock markets on Tuesday bounced back from the previous day's sharp selloff after better-than-expected euro-zone data, while investors also digested earnings reports from some of the region's heaviest hitters.

The Stoxx Europe 600 index rose 0.6% to close at 285.56, climbing back after closing at its lowest level in 2013 on Monday.

"We had a sharp fall yesterday, so it's not surprising to see markets back upward today," said Neil Wilkinson, senior fund manager at Royal London Asset Management.

"I was feeling somewhat nervous last week. We had seen markets re-rate upward pretty rapidly in January and for this to continue we will need to see earnings being upgraded," he said. "We still have a fair chunk of corporations left to report and what they say about the world is important. A big question is if we'll see more downgrades."

And in that vein, shares of ARM Holdings PLC (ARMHY) jumped 4.4% after the chip maker posted a 19% rise in fourth-quarter revenue and said it was off to a good start in the new year.

Shares of Munich Reinsurance Co. gained 3.9%. The German company said it plans to raise dividends to 7 euros ($9.47) per share from EUR6.25.

On a downbeat note, shares of Royal KPN NV sank 16%. The Dutch telecom firm said it would raise 4 billion euros ($5.4 billion) in a rights issue to cut debt, which surged after an expensive auction for high-speed mobile spectrum.

The broader gains for European equities came after investors fled the region's bourses on Monday, as political jitters in Italy and Spain rattled sentiment and stoked new concerns of a euro-zone breakup.

In Spain, the opposition party called for Prime Minister Mariano Rajoy to resign amid allegations of corruption, fueling fears of a general election that could pave the way for anti-euro parties.

The IBEX 35 index slid 3.8% on Monday, but jumped 2.2% to 8,093.60 on Tuesday, with shares of Banco Santander SA (SAN) up 3%.

In Italy, former Prime Minister Silvio Berlusconi vowed he would cut taxes if his coalition wins the general elections later this month, sending Italian sovereign bonds and equities tumbling on Monday.

"From a market perspective it would be a concern if Italy would not continue with its austerity program, which would create nervousness in the sovereign bond market. Domestic banks are big holders of those bonds and would be impacted, so this could be a potential trigger point," said Wilkinson from Royal London Asset Management.

The FTSE MIB index rallied 1.1% to 16,712.26, after shaving off 4.5% on Monday.

Euro-zone data was also in focus. The final composite purchasing managers' index for the region rose to 48.6 in January, marking a ten-month high and coming in above an earlier estimate of 48.2. The index still indicated the private-sector economy deteriorated, but that the pace of the decline eased. .

In the U.S., the ISM services index fell to 55.2 in January from 55.7 in December. .

U.S. stocks opened higher on Wall Street. .

Movers

Among notable movers in Europe, shares of Alfa Laval AB jumped 4.7%, after the heat-equipment firm said its order intake rose 7% in the fourth quarter.

Shares of UBS AG (UBS) inched 0.1% higher, after the Swiss bank posted a 1.9 billion Swiss franc ($2.09 billion) fourth-quarter loss. It also said it was making progress in restructuring its investment-banking unit. .

In the U.K., shares of BP PLC (BP) gained 1.4%, as Chief Executive Bob Dudley said the company was now on track to resume growth, after fourth-quarter profit dropped 72%, but exceeded market expectations. .

Shares of BG Group PLC added 3.4%, even as the energy major posted a 29% drop in fourth-quarter earnings and said it would miss its production target of producing 1 million barrels of oil equivalent a day by 2015. .

The FTSE 100 index gained 0.6% to 6,282.76. .

France's CAC 40 index rallied 1% to 3,694.70. Shares of drug maker Sanofi SA (SNY) rose 1.5%, after European Union regulators approved the firm's Zaltrap drug to treat bowel cancer.

Pernod Ricard SA lost 0.8%. Bank of America Merrill Lynch cut the spirits maker to underperform from neutral, citing likely disappointment with the earnings results due later in the month.

In Germany, shares of Deutsche Bank AG (DB) rose 1.4%. The DAX 30 index added 0.4% to 7,664.66.

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