(Updates prices throughout, adds analyst comment, market reaction to Brazil's presidential election)

* Asian stock markets : https://tmsnrt.rs/2zpUAr4

* E-Mini futures for S&P 500 up 0.3 pct, Australian shares buoyant

* Poor industrial profits data from China likely to weigh

* Tokyo-listed Brazilian stock exchange ETF jump after election

By Swati Pandey

SYDNEY, Oct 29 (Reuters) - Asian shares bounced from last week's steep declines on Monday, though sentiment remained fragile amid heightened worries about corporate earnings and a slowdown in global economic growth.

Wider sentiment in markets has been hit by a range of negative factors from an intensifying China-U.S. trade conflict to worries about U.S. corporate earnings to Italian budget woes as well as Federal Reserve rate increases.

MSCI's broadest index of Asia-Pacific shares outside Japan gained 0.4 percent after sliding almost 4 percent last week.

Among emerging markets, Brazilian-linked stocks got a lift from the South American country's presidential election, which saw the victory of far-right candidate Jair Bolsonaro whose campaign centred on promises to clean up politics and crack down on crime.

Japan's Nikkei rallied 1 percent while Australian shares climbed 0.8 percent. South Korea's KOSPI added 0.7 percent.

E-Mini futures for the S&P 500 and Dow minis were also 0.3 percent higher each after a tumultuous week on Wall Street.

Chinese shares, however, bucked the trend with the blue-chip CSI 300 index down 0.9 percent. Hong Kong's Hang Seng index jumped 0.7 percent.

Analysts warn of more volatility after heavy losses across major equity indices left investors with negative returns for the year. Bears are on the rise, with some indices already in official correction territory amid heightened worries over corporate earnings and global growth. "Sentiment is going to continue to dominate market direction in the short term and investors will be paying close attention to the newswires in the weeks ahead," said Nick Twidale of Rakuten Securities Australia in Sydney.

"Earnings season continues...and political tensions in the United States, Italy, Germany and the UK will continue to add to volatility in their respective markets as well as contributing to overall global flows," Twidale added.

The S&P 500 ended at its lowest level since early May on Friday and flirted with correction territory, pressured by heavy losses in technology and internet shares.

Data out last week showed U.S. economic growth rose at an annualised rate of 3.5 percent in the third quarter, from 4.2 percent in the second quarter, with the slowdown partly driven by a tariff-related drop in soybean exports.