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Australia has insisted the call for an independent investigation into the pandemic, which it says most likely originated in a wildlife market in the Chinese city of Wuhan, was not politically targeted at Beijing.
China accused Australia of playing "petty tricks" and the Chinese ambassador to Australia warned Chinese consumers could boycott Australian products if Australia pursued the inquiry.
China has also since suspended beef imports from four of Australia's largest meat processors and imposed hefty tariffs on imports of barley, although both sides say those moves are unrelated to the spat over the pandemic.
Australian Trade Minister Simon Birmingham, who has been requesting discussions with his Chinese counterpart for weeks, said Beijing has been ignoring Canberra's pleas.
"Unfortunately, our requests for a discussion have so far been met negatively," Birmingham told Australian Broadcasting Corp (ABC) radio on Monday. "That's disappointing."
China is by far Australia's biggest export market, taking more than 30% of Australia's exports by value.
Overall relations have been strained amid Australian accusations of Chinese meddling in domestic affairs and concern about what Australia sees as China's growing influence in the Pacific region.
On Friday, China advised its people to avoid travelling to Australia, citing racial discrimination and violence against the Chinese in connection with the coronavirus pandemic, advice which Canberra disputed.
A Newspoll for The Australian newspaper on Monday showed 79% of Australians backed the push for a global coronavirus investigation.