Secretary of State Mike Pompeo recently addressed the refugee crisis in Peru, while speaking in the country's capital.
The United States, which were among the first states that recognized opposition leader Juan Guaido as the president, has also imposed a number of economic restrictions on the Venezuelan economy to pressure Nicolas Maduro and his supporters.
More than 3 million Venezuelans have fled hyperinflation, food and medicine shortages and political crisis.
This comes after he visited the Colombian and Venezuelan border amid the humanitarian crisis plaguing the region.
Canada had already sanctioned 70 other people linked to Maduro's government.
Cucuta receives a significant portion of Venezuelan migrants arriving in Colombia, many of whom come with only what they can carry.
Russia, in turn, supports Nicolas Maduro as Venezuela's only legitimate president. "And we're going to have that same conversation with the Russians as well". Thus, Washington has imposed tough restrictions on Venezuela's economic sector, including a freeze on the country's assets overseas and efforts to shift billions of dollars" worth of wealth belonging to the Venezuelan state to the opposition "government" for "safe-keeping'.
"Our objective is to allow people to stay in their home countries, this is President Trump's desire".
Critics have warned that heavy sanctions on Venezuela could hurt ordinary Venezuelans. China, meanwhile, is a close ally of Maduro and has urged other countries to not intervene in Venezuela's affairs.
"I hope that you will care now, when you see the horror, when you see the tragedy, to change your ways and to leave your country", Pompeo said.
China brings opportunities, peace and stability to Latin America. He took China's trade relations with Chile as an example.