The Dow Jones Industrial Average fell 118.03 points, or 0.45%, at the open to 26,134.21.
The Dow Jones Industrial Average rose 49.51 points, or 0.19%, to 26,252.24, the S&P 500 lost 1.48 points, or 0.05%, to 2,922.95 and the Nasdaq Composite dropped 28.82 points, or 0.36%, to 7,991.39.
MSCI's broadest index of Asia-Pacific shares outside Japan edged 0.1% lower, though it was up 0.6% for the week and on track to break a four-week losing streak.
The Dow Jones Industrial Average rose 240.29 points, or 0.93%, to 26,202.73, the S&P 500 gained 23.92 points, or 0.82%, to 2,924.43 and the Nasdaq Composite added 71.65 points, or 0.90%, to 8,020.21.
Japan's Nikkei added 0.4% and Australian shares 0.3%, while E-Mini futures for the S&P 500 rose 0.2%.
The Dow Jones Industrial Average rose 182.92 points, or 0.70%, at the open to 26,145.36.
Economists have for years called on thrifty governments, above all eurozone powerhouse Germany, to spend more to shore up domestic growth, rather than relying on central bank policy to do the trick.
Japan's Nikkei slipped 0.6%, Australian shares were 0.8% lower and South Korea's KOSPI index was a shade weaker.
The Dow Jones Industrial Average fell 173.35 points, or 0.66%, to 25,962.44, the S&P 500 lost 23.14 points, or 0.79%, to 2,900.51 and the Nasdaq Composite dropped 54.25 points, or 0.68%, to 7,948.56.
The key for markets now is whether pledges for more accommodative policy from Germany to China are enough to assuage concerns about the state of the global economy and end fears of recession.
MSCI's broadest index of Asia-Pacific shares outside Japan nudged up 0.04%, while Japan's Nikkei jumped 0.47%. The improved mood was helped by a rally on Wall Street overnight, with the S&P 500 gaining 1.21%
The Dow Jones Industrial Average rose 249.78 points, or 0.96%, to 26,135.79, the S&P 500 gained 34.97 points, or 1.21%, to 2,923.65 and the Nasdaq Composite added 106.82 points, or 1.35%, to 8,002.81.
Australian stocks added 0.7%, South Korea's KOSPI advanced 0.5% and Japan's Nikkei rose 0.7%.
The Dow Jones Industrial Average rose 306.62 points, or 1.2%, to 25,886.01, the S&P 500 gained 41.09 points, or 1.44%, to 2,888.69 and the Nasdaq Composite added 129.38 points, or 1.67%, to 7,895.99.
U.S. President Donald Trump said on Thursday he believed China wanted to make a trade deal and that the dispute would be fairly short.
All three major U.S. stock indexes struggled for direction as investors grappled with mixed messages of a strong consumer and dropping U.S. Treasury yields.
The US stock futures managed to steady a little in Asian trading, erasing earlier losses.
Based on the latest available data, the Dow Jones Industrial Average fell 800.49 points
A yield curve typically has an upward slope -- when the yields are plotted on a graph -- because investors expect greater compensation for the risk of owning longer-maturity debt.
The Dow Jones Industrial Average rose 372.54 points, or 1.44%, to 26,279.91, the S&P 500 gained 42.48 points, or 1.47%, to 2,926.23 and the Nasdaq Composite added 152.95 points, or 1.95%, to 8,016.36.
Australian stocks gained 0.4%, South Korea's KOSPI advanced 1.2% and Japan's Nikkei rose 0.8%.
MSCI's broadest index of Asia-Pacific shares outside Japan was down 0.26% while Japan's Nikkei tumbled 1.28%.
The Dow Jones Industrial Average fell 391 points, or 1.49%, to 25,896.44, the S&P 500 lost 35.96 points, or 1.23%, to 2,882.69 and the Nasdaq Composite dropped 95.73 points, or 1.2%, to 7,863.41.
The three main indexes ended marginally lower last week, wrapping up five days of high volume trading marked by wild swings, as investors feared that a slide in China's yuan would expand the scope of the trade war to include currencies.
Fears that US officials might embark on trying to weaken the dollar have grown after Beijing weakened its currency below a psychological 7 per dollar level earlier this month, signaling an escalation in the ongoing trade war with Washington.