Trump's sanctions and comments against Venezuelan officials played to the government's longstanding accusations of USA imperialism in Latin American affairs.
The opposition leader stressed the passport was valid until 2020.
The death of a 15-year-old boy brought the toll from weeks of protests in Venezuela to 43 - a sad milestone that matched the number killed in the last comparable wave of unrest, in 2014.
Clashes have erupted across the country during protests in anger at Maduro's handling of an economic and political crisis.
"We've been down this road - with Syria, with North Korea, with South Sudan, with Burundi, with Burma".
You have some friends sometimes that want the best for you and they react to what they think is best.
Uruguay's United Nations ambassador Elbio Rosselli, president of the Security Council for May, said that at this point Uruguay believed the Venezuelan crisis should be handled within the region.
The U.S. Department of Treasury announced Thursday it is freezing the assets of eight Venezuelan government officials on the Supreme Court in an effort to support the Venezuelan people "in their efforts to protect and advance democratic governance".
Venezuela presents a "very, very awful problem" for the entire hemisphere, and the ongoing unrest there that's left dozens dead and hundreds injured was "nothing like what we've seen for a long time", Trump said, adding that the USA stood with those "yearning to be free".
But Maduro repeatedly has accused the United States of leading an attempt to overthrow his government.
Elected in 2013, Maduro has accused the opposition of plotting a coup against him with USA backing.
The former president insisted, "Venezuela has been living its worst period for decades".
Haley said rather than waiting for the Venezuela situation to become so serious that there has to be a Security Council meeting, "Why not try and stop a problem before it starts?"
Bolivia's United Nations ambassador Sacha Sergio Llorentty Soliz, a member of the Security Council, agreed with Ramirez, telling reporters: "This meeting, instead of helping solve the problem, it will really be an obstacle".
Currently, violent protests by the right wing calling for Maduro's ouster As night fell on Wednesday, thousands of opposition supporters poured onto the streets of different cities for rallies and vigils in honor of the fatalities during protests.
As night fell on Wednesday, thousands of opposition supporters poured onto the streets of different cities for rallies and vigils in honor of the fatalities during protests.