On Tuesday, Pompeo will join his Czech counterpart Tomas Petricek on a trip to Plzen (Pilsen) to pay tribute to US troops that liberated the western Czech city in 1945.
"We'll do everything we can to make sure that that pipeline doesn't threaten Europe," Pompeo said while testifying publicly at a Senate Foreign Relations Committee hearing.
Wang Wenbin, a spokesman for the foreign ministry, told a daily news conference in Beijing that China urged the United States to discard the "cold war mentality".
Spokeswoman Morgan Ortagus was elaborating on the incident that has strained already tense relations between the two world powers, as US Secretary of State Mike Pompeo visited Denmark.
Pompeo also said telecommunications companies around the world "should consider themselves on notice" that if they do business with Huawei, "they are doing business with human rights abusers."
"Certain Huawei employees provide material support to the CCP regime that commits human rights abuses."
Pompeo also told a livestreamed interview with The Hill that the North Koreans had "chosen at this point time not to engage in a way that can lead to a potential solution."
Kim Yo Jong, the sister of North Korea's leader Kim Jong Un, said last week that another summit between him and Trump was unlikely this year.
The Liaison Office, which represents China's government in the semi-autonomous city, called the primary "a serious provocation against the current election system."
"We are making clear: Beijing's claims to offshore resources across most of the South China Sea are completely unlawful, as is its campaign of bullying to control them," Pompeo said in a statement.