It is in both men's interests to get along, the paper added.
In tone and results, the summit was similar to a June 2013 meeting between Xi and President Barack Obama at Sunnylands in Rancho Mirage, California, that also produced little in the way of tangible announcements.
A trade war with the USA would affect the Chinese economy badly, and a military clash on the Korean peninsula would trigger a political crisis in China and put the leadership under challenge from inside the party, Zhang said.
There was little evidence of Xi's promised "tweetable deliverables" created to smooth ties, but they may be rolled out during a 100-day plan on trade.
For its part, the North test-launched a ballistic missile just ahead of the Trump-Xi meeting and has been rumored to be preparing for a possible nuclear test.
For years the USA has pressed China to rein in the North - specifically, its nuclear weapons and long-range missile programs, which Pyongyang says it is pursuing with the aim of being able to strike the United States.
"The summit apparently agreed to tread water".
"I don't think it was an emotional reaction at all", said US Secretary of State Rex Tillerson, who was involved in the discussions.
Trade: commerce secretary Wilbur Ross said both sides agreed on a "100-day plan" to address their trade imbalance, without giving details.
The US has been pushing China to put pressure on North Korea to stop its nuclear program and missile testing, but Trump said in an interview published Sunday with the Financial Times that the US would be prepared to act alone to stop North Korea.
Matthew Pennington reported from Washington. Some observers suggested that China would see the president as weak.
China's leaders in fact have always been concerned about the yawning US trade deficit with their country, $347 billion in 2016.
"The U.S. missile attack against Syria is a clear and unforgivable act of aggression against a sovereign state and we strongly condemn this", KCNA quoted an unnamed spokesman for the North Korean foreign ministry as saying.
Trump accepted Xi's invitation to visit China later this year, Tillerson said.
Trump said that he was writing to keep Congress informed "consistent with the War Powers Resolution", a 1973 measure mandating the president to notify Congress of military action. Last month, she shared a photo of her one-year-old son, Joseph, enjoying a traditional Chinese birthday bowl of long-life noodles. Mr Trump needs to show his working-class base some progress in taking on the country he portrayed as the main reason for the demise of American manufacturing.
President Donald Trump pressed Chinese President Xi Jinping to do more to curb North Korea's nuclear programme and help reduce the gaping USA trade deficit with Beijing in talks on Friday, even as he toned down the strident anti-China rhetoric of his election campaign.
For Mr Xi, the meeting appeared to exceed low expectations.
The Obama administration backed down from its red line on the use of chemical weapons in Syria, settling for a deal that failed to eliminate the Syrian regime's chemical weapons stockpile.
The president is spending the weekend at his Florida resort after the two-day meetings with Xi.
"President Xi should return home feeling happy", he said.