By Sara Sjolin, MarketWatch

LONDON (MarketWatch) -- European stock markets moved firmly higher on Tuesday as the U.S. fiscal standoff took a new turn with a bill proposal from Republican lawmakers and as Germany's DAX 30 index flirted with an all-time high after upbeat data.

The Stoxx Europe 600 index rallied 0.8% to 314.68, on track for the highest closing level in almost a month.

Among notable movers in the index, shares of Rio Tinto PLC (RIO) gained 3.7% after the heavyweight miner said its iron-ore output rose to a new quarterly record.

Shares of Burberry Group PLC (BURBY) lost 5.9% after Apple Inc. (AAPL) named the luxury-goods firm's Chief Executive Angela Ahrendts as senior vice president of retail and online stores.

More broadly, investors in Europe welcomed developments in the fiscal negotiations in U.S., with the debt-ceiling looming and the government shutdown moving into Day 15. On the Senate floor on Monday, Senate Majority Leader Harry Reid said he was "very optimistic" about concluding deals "this week" to raise the debt limit as well as end the government shutdown. Sen. Mitch McConnell, the minority leader, said he shared Reid's feeling that "we'll get a result that's acceptable to both sides."

On Tuesday, media reports said House Republicans will push for a separate bill containing the same extensions to the debt ceiling and budget, but delays the medical-device tax for two years and turns off the Treasury's capability to use so-called extraordinary measures.

U.S. stocks rose on Monday, but traded lower on Tuesday. Asia markets closed mostly higher.

German ZEW data

German data further provided investors with a reason to celebrate. The ZEW sentiment survey showed that the economic expectations indicator rose further above its long-term average in October, to 52.8 points from 49.6 points in September--beating economists' expectations for an unchanged reading.

Germany's DAX 30 index jumped 0.9% to 8,801.21, on track for the highest close on record.

The U.K.'s FTSE 100 index picked up 0.7% to 6,553.63, while France's CAC 40 index rose 0.8% to 4,256.63.

Shares of Ashtead Group PLC climbed 1.9% after J.P. Morgan Cazenove lifted the equipment-rental company to overweight from neutral.

Man Group PLC rallied 5.3% after UBS added the investment firm to its most-preferred list. In the same vein, UBS added Schroders PLC to its least-preferred list, sending the shares 0.5% lower.

Shares of Zurich Insurance Group AG added 1.4% after J.P. Morgan Cazenove upgraded the firm to neutral from underweight.

Stora Enso Oyj climbed 4.2% after Goldman Sachs lifted the pulp and paper firm to buy from neutral.

On a more downbeat note, shares of Schindler Holding AG slumped 5.8% after the elevator maker warned full-year profit will come in lower than previously estimated.

SKF AB dropped 4.9% after the Swedish ball-bearing maker posted weaker-than-expected third-quarter net profit, as currency headwinds hit the results.

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