The Dow Jones Industrial Average fell 9.93 points, or 0.03 percent, to 31,375.83. The S&P 500 lost 4.36 points, or 0.11 percent, to 3,911.23. The Nasdaq Composite Index rose 20.06 points, or 0.14 percent, to 14,007.70.
Six of the 11 primary S&P 500 sectors ended in green, with real estate up 0.47 percent, leading the gainers. Energy slipped 1.52 percent, the worst-performing group.
U.S.-listed Chinese companies traded mostly higher with nine of the top 10 stocks by weight in the S&P U.S. Listed China 50 index ending the day on an upbeat note.
Wall Street focused on updates regarding additional U.S. stimulus. U.S. Treasury Secretary Janet Yellen said Sunday that the United States could return to full employment in 2022 if it enacts President Joe Biden's 1.9-trillion-U.S.-dollar COVID-19 relief package.
Citing a recent analysis from the Congressional Budget Office, Yellen said the U.S. unemployment rate is going to "stay elevated for years to come" without additional support.
Yellen's remarks came after both chambers of U.S. Congress on Friday passed a budget resolution, a key step which would allow Democrats to push through Biden's relief package without Republican support.
The United States has registered more than 27.1 million confirmed COVID-19 cases with related deaths exceeding 466,800 as of Tuesday afternoon, showed a tally by Johns Hopkins University.