However, authorities have not officially drawn a link between these incidents and Meng's own arrest, and Canadian officials did not say the third detention was connected.
The department also said it's providing assistance to the detained Canadian's family.
In the press conference, some journalists asked about Huawei's CFO, Ms. Meng Wanzhou.
China's foreign ministry says Kovrig and Spavor have been detained on suspicion of "endangering national security".
Former diplomats said the fact that Canada was granted access to the two men relatively quickly is a positive sign.
Huawei is the world's largest supplier of telecommunications network equipment and second-biggest maker of smartphones and unlike other big Chinese technology firms, derives half its revenue from overseas. China threatened Canada with "severe consequences" if Meng was not released immediately.
Indeed, the Rural Wireless Association in the USA recently said it believes fully a fourth of its membership now uses equipment from Chinese suppliers like Huawei. "The Canadian government can not order a judge to release Ms. Meng, ' the security voices are going to trump them", the source said. He declined to comment specifically on the case of Meng, or on efforts by Turkey to have the USA extradite cleric Fethullah Gulen.
Beijing said Friday it would suspend extra tariffs on US-made cars and auto parts for three months from January 1.
While Huawei wouldn't address Meng's case directly, the company reiterated that it abides by worldwide law and is confident the judiciary will come to a fair conclusion.
Huawei has reportedly given in to the demands of United Kingdom intelligence agencies to address serious risks in the Chinese company's telecom.
As countries around the world scramble to deploy large-scale 5G networks, the global telecom equipment market for the superfast technology will hit $11 billion by 2022, research agency IHS Markit forecast, without disclosing the figure for this year.
Pressed by public broadcaster Radio-Canada why he had not personally intervened in the cases by calling China's President Xi Jinping, he said on Tuesday: "In worldwide politics, it is always better to proceed by degrees".
Meanwhile, China's vice premier, with responsibility for the domestic economy, and U.S. Treasury Secretary Steven Mnuchin talk about the ongoing tariff battle between the two countries.
The arrest of the Garratts came shortly after a Chinese businessman was picked up on a US warrant in Canada.