Containers sit at the Yangshan Port in Shanghai, China, Aug. 6, 2019. Aly Song | Reuters

Even if they get a deal, or whatever deal that they get ... I think the lack of strategic trust will be the more important factor. Chan Chun Sing Singapore minister for trade and industry

He explained that both sides have to make sure their objectives of reaching an agreement are aligned. Otherwise, a U.S.-China deal will still leave the global economy fragmented, he added. "Even if they get a deal, or whatever deal that they get ... I think the lack of strategic trust will be the more important factor," the minister told CNBC's "Squawk Box."

Without that trust, countries will "start taking actions to de-risk their own economies by fragmenting their supply chains or by diversifying their supply chains in a fragmented world," said Chan. "That is the most dangerous trajectory for the world economy," he added. There are already signs that companies are moving their production out of China to circumvent elevated tariffs. But some experts said such a shift may not be the most efficient for global goods production because alternative locations such as Vietnam are still years away from gaining the capabilities to replace China's as the world's factory.

Trade war impact on Singapore

Singapore's export-reliant economy has been hit by a global slowdown in trade. The Southeast Asian economy contracted by 3.3% on quarter in the April-to-June period, with some economists warning that a recession may be around the corner. Singapore's government last month slashed its 2019 official growth forecast to zero to 1%, from 1.5% to 2.5% previously. Chan said Monday the city-state could escape a recession, but acknowledged that a challenging external environment could further weigh down Singapore's prospects. The government and companies have pressed on with efforts to to make the Singaporean economy more resilient, he said. "We prefer to focus on the long term," he said. "We are continuing to diversify our portfolio of trade, making sure that we have more trade agreements, more substantive trade agreements with the existing partners and new partners."