(Restores dropped word in paragraph 16)
* Trump says he and Xi believe N.Korea solution possible
* On trade, Trump says will make it "fair," "tremendous"
* Xi says China-US relations at historical new starting point
* U.S., Chinese companies sign $250 bln in commercial deals
BEIJING, Nov 9 (Reuters) - U.S. President Donald Trump pressed China to do more to rein in North Korea on Thursday and said bilateral trade had been unfair to the United States, but praised President Xi Jinping's pledge that China would be more open to foreign firms.
On North Korea's nuclear and missile programs, Trump said "China can fix this problem quickly and easily," urging Beijing to cut financial links with North Korea and also calling on Russia to help.
Trump was speaking alongside Xi in the Chinese capital to announce the signing of about $250 billion in commercial deals between U.S. and Chinese firms, a display that some in the U.S. business community worry detracts from tackling deep-seated complaints about market access in China.
Xi said the Chinese economy would become increasingly open and transparent to foreign firms, including those from the United States, and welcomed U.S. companies to participate in his ambitious "Belt and Road" infrastructure-led initiative.
Trump made clear that he blamed his predecessors, not China, for the trade imbalance, and repeatedly praised Xi, calling him "a very special man."
"But we will make it fair and it will be tremendous for both of us," Trump said.
Xi smiled widely when Trump said he does not blame China for the deficit and also when Trump said Xi gets things done.
"Of course there are some frictions, but on the basis of win-win cooperation and fair competition, we hope we can solve all these issues in a frank and consultative way," Xi said.
"Keeping opening up is our long-term strategy. We will never narrow or close our doors. We will further widen them," he said. China would also offer a more fair and transparent environment for foreign firms, including U.S. ones, Xi said.
Trump is pressing China to tighten the screws further on North Korea and its development of nuclear weapons in defiance of U.N. sanctions. At least modest progress is hoped for, although there are no immediate signs of a major breakthrough, a U.S. official said earlier.
Referring to Xi, Trump said: "I do believe there's a solution to that, as do you."
Xi reiterated that China would strive for the denuclearisation of the Korean peninsula but offered no hint that China would change tack on North Korea, with which it fought side-by-side in the 1950-53 Korean war against U.S.-led forces.
"We are devoted to reaching a resolution to the Korean peninsula issue through dialog and consultations," Xi said.
Briefing reporters after the talks, U.S. Secretary of State Rex Tillerson said Trump told Xi: "Youre a strong man, Im sure you can solve this for me."
Tillerson said both leaders agreed they could not accept a nuclear-armed North Korea but he acknowledged they had some differences over tactics and timing.
Tillerson pointed out that Trump, in a speech in Seoul, had "invited the North Koreans to come to the table," in line with the Chinese desire for a negotiated solution. He added, however, that Trump was prepared for a "military response" if he deemed the threat serious enough, but "that's not his first choice."
"We are going to work hard on diplomatic efforts as well," he said, but did not elaborate.
In a show of the importance China puts on Trump's first official visit, Thursday's welcoming ceremony outside Beijing's Great Hall of the People overlooking Tiananmen Square was broadcast live on state television - unprecedented treatment for a visiting leader.
Earlier on Thursday, Xi said he had a deep exchange of views with Trump and reached consensus on numerous issues of mutual concern.
"For China, cooperation is the only real choice, only win-win can lead to an even better future," he said.
Xi said China and the United States strengthened high-level dialog on all fronts over the past year and boosted coordination on major international issues, such as the Korean peninsula and Afghanistan.
"Relations between China and the United States are now on a new historical starting point," Xi said.
Trump and Xi hit it off at their first meeting in April at Trump's Mar-a-Lago resort in Florida and continued their "bromance" on Wednesday with an afternoon of sightseeing together with their wives. However, divisions persist over trade and North Korea.
And while Xi is riding high after consolidating power at a twice-a-decade Communist Party Congress last month, Trump comes to China saddled with low public approval ratings and dogged by investigations into Russian links to his election campaign.
'HORRIBLE' TRADE SURPLUS
Trump has ratcheted up his criticism of China's massive trade surplus with the United States - calling it "embarrassing" and "horrible" last week - and has accused Beijing of unfair trade practices.
For its part, China says U.S. restrictions on Chinese investment in the United States and on high-tech exports need to be addressed.
Several corporate chief executives were in Beijing as part of a delegation led by U.S. Commerce Secretary Wilbur Ross, with General Electric and semiconductor maker Qualcomm Inc among those announcing billions of dollars in sales to China.
But Qualcomm's agreement to sell $12 billion worth of components to three Chinese mobile phone makers over three years is non-binding, and critics say such public announcements are sometimes more show than substance.
"This shows that we have a strong, vibrant bilateral economic relationship, and yet we still need to focus on leveling the playing field because U.S. companies continue to be disadvantaged doing business in China," said William Zarit, chairman of the American Chamber of Commerce in China.
Trump railed against China's trade practices during the 2016 U.S. presidential campaign and threatened to take action once in office. But he has since held back on any major trade penalties, making clear he was doing so to give Beijing time to make progress reining in North Korea.
A U.S. official said both sides were "in sync" about wanting to minimize friction during the visit and recreate the positive tone of the April summit.
Trump was not expected to put much emphasis in his talks with Xi on thorny issues such as the disputed South China Sea and self-ruled Taiwan, claimed by China as its own, although the leaders' aides may deal with those matters privately, the official told Reuters, speaking on condition of anonymity.
China has repeatedly pushed back at suggestions it should be doing more to rein in North Korea, which does about 90 percent of its trade with China, saying it is fully enforcing U.N. sanctions and that everyone has a responsibility to lower tension and get talks back on track. (Additional reporting by Matt Spetalnick, Matthew Miller, Philip Wen and John Ruwitch; Writing by Ben Blanchard and Tony Munroe; Editing by Clarence Fernandez and Nick Macfie)