Deposed Venezuelan President Nicolás Maduro is set to make his first appearance Monday in an American courtroom on the narco-terrorism charges the Trump administration used to justify capturing him and bringing him to New York.

Maduro and his wife are expected to appear at noon before a judge for a brief, but required, legal proceeding that will likely kick off a prolonged legal fight over whether he can be put on trial in the U.S.

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 and threatened military action on Colombia for facilitating the global sale of cocaine, 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.

Venezuela's interim president Delcy Rodriguez has called for a "balanced and respectful" relationship with the United States, a day after American forces attacked Caracas and captured leftist leader Nicolas Maduro.

"We consider it a priority to move toward a balanced and respectful relationship between the U.S. and Venezuela," Rodriguez, Maduro's vice president, wrote on Telegram.

Russia's overnight strikes on Kyiv province killed two people, Ukrainian authorities said Monday after a countrywide air alert was issued.

One person was killed in the capital, according to Tymur Tkachenko, the head of the city's military administration.

Iran accused Israel on Monday of trying to undermine its national unity after Israeli Prime Minister Benjamin Netanyahu expressed support for protests in the Islamic republic.

"The Zionist regime (Israel) is determined to exploit the slightest opportunity to sow division and undermine our national unity, and we must remain vigilant," foreign ministry spokesman Esmail Baqaei said at a weekly press conference, before accusing Israeli and US leaders of "incitement to violence".

Venezuela's president Nicolas Maduro was in a New York jail on Sunday after a shock U.S. snatch-and-grab raid to remove him from power and assert Washington's control over the oil-rich South American nation.

Russia condemned the U.S. military action in Venezuela on Saturday, saying there was no tenable justification for the attack and that "ideological hostility" had prevailed over diplomacy.

Supreme leader Ayatollah Ali Khamenei on Saturday acknowledged the economic demands of Iranian protesters, while warning against what he described as rioting.

U.S. President Donald Trump said Saturday that U.S. forces had captured Venezuelan leader Nicolas Maduro after launching a "large scale strike" on the South American country.

"The United States of America has successfully carried out a large scale strike against Venezuela and its leader, President Nicolas Maduro, who has been, along with his wife, captured and flown out of the Country," Trump said on Truth Social, around two hours after explosions rocked Venezuela's capital Caracas.

The Ukrainian army said Friday it only hit "military targets", a day after Russia accused Kyiv of firing drones at a hotel and cafe in Ukraine's occupied south, killing 27 people.

Russian-installed authorities in Ukraine's southern Kherson region said those killed were revellers celebrating the New Year and that two of the dead were children, describing the incident as a "terrorist act".