Speaking at a press conference in Budapest, Hungary, on Monday, Pompeo suggested that companies who do business with Huawei could be stopped from working with United States agencies or companies out of security concerns.
But the top US diplomat is making push-back against Huawei a key theme of his trip to Europe this week, with additional stops in Poland, Slovakia, Belgium and Iceland.
'We have to understand that the European peoples have come to a historical crossroads, ' Mr Orban said.
The top American diplomat's comments came as he continued his Central European charm offensive aimed at curbing the growing influence of both Russian Federation and China in the region.
The fear, said Pompeo, was that countries who rely heavily on Huawei gear are likely to be bugged by Chinese intelligence services.
Ahead of his visits to Budapest and Bratislava, U.S. officials said Pompeo hoped to reverse what they called a decade of U.S. disengagement in Central Europe that created a vacuum that Russian Federation and China have exploited. He will wrap up the tour with brief stops in Belgium and Iceland.
The administration of Trump's predecessor, Barack Obama, had largely steered clear of Orban, who won a third consecutive term past year in a campaign based on anti-immigration policies and whose policies have been met with street protests and deepening concern within the EU.
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The measures announced by Viktor Orban during his "state of the nation" speech are meant to encourage women to have more children and reverse Hungary's population decline.
Pompeo says the presence of Chinese telecom infrastructure could drive a technological wedge between the USA and some allies. "People in the West are responding to this with immigration", Orban said.
The two politicians also discussed the need for Central European energy diversification, EU integration for the Western Balkans, and the Transatlantic relationship, he added.
Orban's government has been targeted for criticism, including from the US, for forcing a Budapest-based university founded by billionaire philanthropist George Soros to move most of its programs to Vienna.
Human rights groups and others have lamented Pompeo's plans to meet with Orban and urged him to take a strong stance against his worrisome policies. Pompeo stopped in Hungary's capital Monday, where he visited the USA embassy as well as a statue of the late President Ronald Reagan in Budapest.
"We have to show up or expect to lose", one official said.
The benefits include a lifetime personal income-tax exemption for women who give birth and raise at least four children; a subsidy of 2.5 million forints (US$8,825) toward the purchase a seven-seat vehicle for families with three or more children; and a low-interest loan of 10 million forints (US$35,300) for women under age 40 who are marrying for the first time.