In 3.24pm trading in New York, the Dow Jones Industrial Average rose 0.15 per cent, wile the Nasdaq Composite Index added 0.17 per cent. In 3.09pm trading, the Standard & Poor's 500 Index increased 0.11 per cent.
"In spite of the recent rebound, we still remain below the levels we were sitting at a week ago, which suggests that a certain degree of caution still remains," Michael Hewson, market analyst at CMC Markets in London, wrote in a note, Bloomberg reported.
Indeed, US Treasuries rose, pushing yields on the 10-year note five basis points lower to 2.22 per cent.
Also adding to caution was US President Donald Trump's decision to disband two business councils as a flurry of corporate executives resigned from them in protest of Trump's stunning unwillingness to denounce white hate groups following deadly violence in Virginia over the weekend.
"That throws a little bit more doubt into the president's abilities to push his policies through," David Schiegoleit, managing director of investments at US Bank Private Wealth Management in Newport Beach, California, told Reuters.
In the Dow, gains in shares of United Technologies and those of Home Depot, recently up 2.3 per cent and 1.4 per cent respectively, outweighed declines in shares of Goldman Sachs and those of Intel, recently down 1 per cent and 0.9 per cent respectively.
Wall Street's fear gauge-the CBOE Volatility Index or the VIX-declined 3.8 per cent to 11.58.
In Europe, the Stoxx 600 Index finished the day with a 0.7 per cent increase from the previous close. Germany's DAX Index climbed 0.7 per cent, the UK's FTSE 100 Index rose 0.7 per cent, while France's CAC 40 Index also advanced 0.7 per cent.