The United States is said to be considering China's punishment options to curb the country in moves related to Taiwan.
The sources of the news told the Reuters news agency that the European Union (EU) is also under diplomatic pressure from Taiwan to do the same.
In both US and EU cases, the idea given is to apply sanctions, in addition to the measures that have been applied in the West, in order to limit a number of trade and investment activities with China in China.
The Chinese military helicopter flew across Binh Dam Island, off Fujian province, on the morning of August 4, a few hours before the country started the exercise around Taiwan.
Sources do not provide details about what is being considered, but the punishment on the world's second largest economy and one of the largest links of the global supply chain is not easy.
Imposing sanctions on China is much more complicated than Russian sanctions for close economic relations between the United States and its allies with China, Nazak Nikakhtar, former senior US Trade Department,
China considers Taiwan as a consistent awaiting province, maybe with force if necessary.
In the United States, the discussions on China sanctions began since Russia launched a military campaign in Ukraine in February, but this topic became more urgent after the reaction from China before the visit.
The White House has not commented.
Taiwan has also proposed a way to sanction China with European officials after the Russian - Ukraine conflict broke out, but Beijing's recent military exercises have made Taipei more determined.
Taiwan does not make specific requirements, only urging Europe to plan the actions they can take if China attacks the island and has asked Europe to warn China that it will be.
The EU has still avoided imposing tough sanctions on China on human rights because it plays a much bigger role in the economy of the bloc compared to Russia.