NUSA DUA, Indonesia — President Joe Biden objected to China’s “coercive and increasingly aggressive actions” toward Taiwan and raised human rights concerns about Beijing’s conduct in Xinjiang, Tibet, and Hong Kong during his first in-person meeting on Monday with President Xi Jinping, the White House said.

In a statement on the roughly three-hour session, the White House said Biden told Xi that the U.S would “continue to compete vigorously” with China but that “competition should not veer into conflict.” The meeting came as the superpowers aimed to “manage” differences between them as they compete for global influence amid increasing economic and security tensions.

Biden scheduled a news conference later Monday discuss the meeting, which came in the midst of a seven-day, round-the-world trip.

Biden and Xi also agreed that “a nuclear war should never be fought” and can’t be won, “and underscored their opposition to the use or threat of use of nuclear weapons in Ukraine,” the White House said. That was a reference to Russian officials’ thinly-veiled threats to use atomic weapons as its nearly nine-month invasion of Ukraine has faltered.

Biden and Xi also agreed to “empower key senior officials” on areas of potential cooperation, including tacking climate change, and maintaining global financial, health and food stability. It was not immediately clear whether that meant China would agree to restart climate change talks that Beijing had paused in protest of House Speaker Nancy Pelosi’s visit to Taiwan in August.

Xi and Biden greeted each other with a handshake at a luxury resort hotel in Indonesia, where they are attending the Group of 20 summit of large economies.

“As the leaders of our two nations, we share responsibility, in my view, to show that China and the United States can manage our differences, prevent competition from becoming anything ever near conflict, and to find ways to work together on urgent global issues that require our mutual cooperation,” Biden said to open the meeting.

Xi called on Biden to “chart the right course” and “elevate the relationship” between China and the U.S. He said he was ready for a “candid and in-depth exchange of views” with Biden.

Both men entered the highly anticipated meeting with bolstered political standing at home. Democrats triumphantly held onto control of the U.S. Senate, with a chance to boost their ranks by one in a runoff election in Georgia next month, while Xi was awarded a third five-year term in October by the Communist Party’s national congress, a break with tradition.

“We have very little misunderstanding,” Biden told reporters in Cambodia on Sunday, where he participated in a gathering of southeast Asian nations before leaving for Indonesia. “We just got to figure out where the red lines are and ... what are the most important things to each of us going into the next two years.”