The European Union suspended imports from four Brazilian meat-processing facilities, ABPA said, citing the nation's agriculture ministry.
China, which accounted for almost one-third of the Brazilian meatpacking industry's €12.8bn in exports past year, suspended imports of all meat products from Brazil as a precautionary measure.
Meat is Brazil's fourth-largest export by value (at nearly US$14bn), and the bans could hurt the country's slow economic recovery.
Some of China's largest food suppliers have pulled Brazilian beef and poultry from their shelves after a probe into corruption involving Brazil's health inspectors and accusations that rotten products were sold.
BBC reported that three Brazilian meat processing plants have also been closed and another 21 are under scrutiny. The beef, pork and poultry sector represents 15% of Brazil's exports.
In the press release, head of corporate communications for the Jamaican firm, Klao Belle-Lewis, said they would withdraw corned beef originating from Brazil from sale "as a precautionary measure until further notice and will be working with its distributors in T&T to do so".
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"Daff has also advised the Brazilian authority to ban all exportation of meat from such establishments until the issue has been resolved to the satisfaction of the South African Veterinary Authority" the department said. "We also know that import permits were issued to one local company for chicken nuggets from Brazil".
Brazilian meat is exported to more than 150 countries, with principal markets including Japan, Saudi Arabia and Russian Federation.
Meat-loving Argentina and the United States are among countries holding off from banning imports.
"Daff wishes to assure the consumers that the officials at ports of entry have always been vigilant on meat imports from any country to ensure compliance with sanitary requirements which are put in place to protect both the consumers and animals against food safety hazards and animal diseases respectively". "The (agriculture) ministry has a huge job ahead of it", he said.
The decision by convenience store chains to stop using Brazilian chicken in their products followed on the heels of the supermarket chains' precautions.