WASHINGTON (AP) — A day after the audacious U.S. military operation in Venezuela, President Donald Trump on Sunday renewed his calls for an American takeover of the Danish territory of Greenland for the sake of U.S. security interests, while his top diplomat declared the communist government in Cuba is “in a lot of trouble.”

The comments from Trump and Secretary of State Marco Rubio after the ouster of Venezuela's Nicolás Maduro underscore that the U.S. administration is serious about taking a more expansive role in the Western Hemisphere.

With thinly veiled threats, Trump is rattling hemispheric friends and foes alike, spurring a pointed question around the globe: Who's next?

“We do need Greenland, absolutely,” Trump said in an interview with The Atlantic in which he described the strategically located Arctic island as “surrounded by Russian and Chinese ships.”

Asked what the U.S.-military action in Venezuela could portend for Greenland, Trump replied: “They are going to have to view it themselves. I really don’t know.” The White House did not respond to a request for comment.

Trump, in his administration's National Security Strategy published last month, laid out restoring “American preeminence in the Western Hemisphere” as a central guidepost for his second go-around in the White House.

Trump has also pointed to the 19th century Monroe Doctrine, which rejects European colonialism, as well as the Roosevelt Corollary — a justification invoked by the U.S. in supporting Panama’s secession from Colombia, which helped secure the Panama Canal Zone for the U.S. — as he's made his case for an assertive approach to American neighbors and beyond.

Trump has even quipped that some now refer to the fifth U.S. president's foundational document as the “Don-roe Doctrine.”

Saturday's dead-of-night operation by U.S. forces in Caracas and Trump’s Atlantic interview heightened concerns in Denmark, which has jurisdiction over the vast mineral-rich island of Greenland.

Danish Prime Minister Mette Frederiksen in a statement following Trump's latest comments on Greenland said he has "no right to annex" the territory. She also reminded Trump that Denmark already provides the United States, a fellow member of NATO, broad access to Greenland through existing security agreements.

“I would therefore strongly urge the U.S. to stop threatening a historically close ally and another country and people who have made it very clear that they are not for sale,” Frederiksen said.

Denmark on Sunday also signed onto a European Union statement underscoring that “the right of the Venezuelan people to determine their future must be respected” as Trump has vowed to “run” Venezuela and pressed the acting president, Delcy Rodriguez, to get in line.

Greenlanders and Danes were further rankled by a social media post following the raid by a former Trump administration official turned podcaster, Katie Miller. The post shows an illustrated map of Greenland in the colors of the Stars and Stripes accompanied by the caption: “SOON."

“And yes, we expect full respect for the territorial integrity of the Kingdom of Denmark,” Amb. Jesper Møller Sørensen, Denmark's chief envoy to Washington, said in a post responding to Miller, who is married to Trump's influential deputy chief of staff Stephen Miller.

During his presidential transition and in the early months of his return to the White House, Trump repeatedly called for U.S. jurisdiction over Greenland, and has pointedly not ruled out military force to take control of the mineral-rich, strategically located Arctic island that belongs to an ally.

The issue had largely drifted out of the headlines in recent months. Then Trump put the spotlight back on Greenland less than two weeks ago when he said he would appoint Republican Gov. Jeff Landry as his special envoy to Greenland.

The Louisiana governor said in his volunteer position he would help Trump “make Greenland a part of the U.S.”

A stern warning to Cuba

Meanwhile, concern simmered in Cuba, one of Venezuela’s most important allies and trading partners, as Rubio issued a new stern warning to the Cuban government. U.S.-Cuba relations have been hostile since the 1959 Cuban revolution.

Rubio, in an appearance on NBC's “Meet the Press,” said Cuban officials were with Maduro in Venezuela ahead of his capture.

“It was Cubans that guarded Maduro,” Rubio said. “He was not guarded by Venezuelan bodyguards. He had Cuban bodyguards.” The secretary of state added that Cuban bodyguards were also in charge of “internal intelligence” in Maduro’s government, including “who spies on who inside to make sure there are no traitors.”

Trump on Saturday told reporters that he viewed the Cuban government as “very similar” to Venezuela.

“I think Cuba is going to be something we’ll end up talking about, because Cuba is a failing nation right now, a very badly failing nation, and we want to help the people," Trump said.

Cuban authorities called a rally in support of Venezuela’s government and railed against the U.S. military operation, writing in a statement: “All the nations of the region must remain alert, because the threat hangs over all of us.”

Rubio, a former Florida senator and son of Cuban immigrants, has long maintained Cuba is a dictatorship repressing its people.

“This is the Western Hemisphere. This is where we live — and we’re not going to allow the Western Hemisphere to be a base of operation for adversaries, competitors, and rivals of the United States," Rubio said.

Cubans like 55-year-old biochemical laboratory worker Bárbara Rodríguez were following developments in Venezuela. She said she worried about what she described as an “aggression against a sovereign state.”

“It can happen in any country, it can happen right here. We have always been in the crosshairs,” Rodríguez said.

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AP writer Andrea Rodriguez in Havana, Cuba contributed reporting.