Markets in China were steady after China's central bank governor said policy will stay "stable and healthy," suggesting Beijing has no plans to join the United States and Europe in cutting interest rates to stimulate economic growth.
Yi Gang said Tuesday the People's Bank of China will avoid a "massive stimulus." Beijing is trying to shore up cooling economic growth amid a tariff war with Washington but is wary of any steps that might add to debt levels that are so high that rating agencies have cut China's credit rating.
In Hong Kong the Hang Seng index gained 0.3% to 26,304.05 after Hong Kong leader Carrie Lam told reporters she hoped a "town hall" dialogue this week might be a step forward in the "long journey" to reconciliation after weeks of sometimes violent protests in the semi-autonomous Chinese city.
In the latest of a slew of discouraging indicators, a preliminary manufacturers survey showed factory activity slowing in Japan last month. The HIS Markit purchasing managers index fell to 48.9 in September from 49.3 in August, on a gauge where 50 marks the break between expansion and contraction.
It cited "strong external headwinds" for manufacturers, including the prolonged tariffs war between Beijing and Washington that has disrupted trade across the region. Elsewhere in Asia, the Kospi in South Korea climbed 0.5% to 2,101.04 and Australia's S&P ASX 200 ended flat at 6,127.66. Shares fell in Taiwan and Indonesia but were higher in Singapore and Thailand. India's Sensex edged 0.1% lower to 39,066.25.
Overnight, the S&P 500 index slipped less than 0.1% to 2,991.78 and the Dow Jones Industrial average picked up 0.1%, to 26,949.99. The Nasdaq fell 0.1% to 8,112.46 and the Russell 2000 index of smaller companies lost 0.1%, to 1,558.25.
Losses in the health care, communication services and industrial sectors outweighed gains in technology stocks, consumer-centric companies and banks. Indicating investors are seeking to avoid some risk, bond prices rose and yields declined, with the yield on 10-year Treasury notes slipping to 1.71% from 1.75% late Friday.
The major share indexes are each up modestly for the month and the quarter. The benchmark S&P 500 index remains close to its all-time high set in late July. Mnuchin said Monday that he expected talks on the U.S. dispute with China over trade and technology to resume the week of Oct. 7.
Meanwhile, oil prices and the energy sector could experience more volatility this week as Trump takes seeks a coalition to confront Iran, which the U.S. blames for last week's strike on a Saudi Arabian oil facility.
Benchmark crude oil lost 51 cents to settle at $58.14 a barrel in electronic trading on the New York Mercantile Exchange. It lost 55 cents on Monday to $58.64 per barrel. Brent crude oil, the international standard, declined 64 cents to $63.09 a barrel.
The dollar rose to 107.58 Japanese yen from 107.54 yen on Monday. The euro weakened to $1.0989 from $1.0994. Major stock indexes in Europe closed broadly lower as a gauge of Germany's private sector activity contracted for the first time in nearly seven years, according to IHS Markit.
Germany is Europe's largest economy and often acts as an indicator for the continent's overall economic health. The latest data adds to worries that Europe is facing a slowdown. The European Central Bank is urging governments to spend more on stimulus as economic growth stalls.
AP Business writers Alex Veiga and Damian J. Troise contributed.