Two people have now died after a flyover collapsed in the Brazilian city of Belo Horizonte.
Nineteen people have also been injured in the accident, which trapped a commuter bus, two trucks and a car.
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The letter was signed by the CBI, British Chambers of Commerce, the EEF, the Institute of Directors and the Federation of Small Businesses.
A spokesperson said Rory Stewart's remarks were in line with the British government’s stated position.
The minister's intervention will come a week after Trump decertified the landmark agreement claiming it was not in the US national interest.