At the close, the Dow Jones industrial index was traded up 0.1 percent, the broad S&P 500 index climbed 0.4 percent, and Nasdaq's technology-heavy composite index increased 0.7 percent.
China on Monday firmly rejected claims that it had broken the agreement with the US tariffs from May.
Beijing and Washington announced on May 12 that they had agreed to lower tariffs for 90 days – the US's against China from 30 percent and China's against US goods from 125 to 10 percent. However, on Friday, President Donald Trump accused China of "completely breaking the agreement with us".
A call between Trump and China's President Xi Jinping is expected this week.
On Friday, Trump also said he planned to increase tariffs on imported steel and aluminum from 25 to 50 percent from Wednesday – which gave companies like Cleveland-Cliffs, Steel Dynamics, and Nucor a boost and increased on Monday by 23.2 percent, 10.3 percent, and 10.1 percent, respectively.
Among Monday's losers were, among others, electric car manufacturers Tesla, down 1.1 percent, and Nio, which fell 0.6 percent. Both General Motors and Ford lost 3.9 percent.