Yet like a previous delivery of US aid a week ago, the vitally-needed supplies - food, medical supplies, hygiene kits, nutritional products and more - remain in limbo on the Colombia-Venezuela border, blocked from entry into the country by embattled President Nicolas Maduro, who is struggling to maintain power against growing opposition inside and outside of the South American nation.
"We seek a peaceful transition of power, but all options are open", Trump said.
White House press secretary Sarah Sanders said earlier Monday that the US "knows where military officials and their families have money hidden throughout the world".
Mr Maduro, who denies the existence of a humanitarian crisis, dismisses the opposition moves as a "political show" and a cover for a U.S. invasion.
Failing to deliver data since 2016 and facing pressure from overseas, Venezuela's central bank sent key economic data to the International Monetary Fund in November hoping to avoid sanctions that included the loss of voting rights or a potential expulsion from the lender.
Netanyahu tweets intent to start war with Iran, then deletes it
Iranian Foreign Minister Mohammad Javad Zarif has called the two-day meeting a "desperate anti-Iran circus" and has kept up a steady stream of tweets mocking it in English.
"The worst thing is stimulating the imperial madness of an extremist Ku Klux Klan government in the White House", said Maduro.
Speaking in Miami as humanitarian aid remained stalled at the Venezuelan border, Trump decried President Nicolas Maduro as a "Cuban puppet" and warned officials who have helped keep him in power that "the eyes of the entire world are upon you".
He said that it "is not new" that Maduro holds out hope of meeting the USA president, but it reflects a realization that his crisis-riddled nation rejects his "model of governance".
Trump's National Security Adviser, John Bolton, said last week the USA would lift sanctions on any military official who recognizes Guaido as the legitimate leader of the country. Scores of Venezuelan officials also face personal financial sanctions in the United States. Marco Rubio and Rick Scott, who have all been outspoken in their criticism of Maduro's government. "There's hope. We are free and we pray together loudly and proudly that soon the people of Venezuela will be free as well". "Nothing could be better for the future of Venezuela!" He claims the aid, sent from the United States and other countries at the request of Guaido, is illegal and not needed. Today this fight is existential.
Bolton appeared to confirm reports that Venezuelan Foreign Minister Jorge Arreaza met in NY with US special envoy for Venezuela Elliott Abrams, and suggested Maduro should ask himself what they talked about. But his administration has also come under criticism for not doing enough to grant asylum to those fleeing the country.
He said US sanctions on the oil industry are to blame for mounting hardships even though shortages and hyperinflation that economists say topped 1 million per cent long predates Trump's recent action.
Trump had been spending the holiday weekend at his private club in West Palm Beach, Florida.