Peru, Colombia and Mexico condemn President Donald Trump's comments of using "military option" against Caracas.
Foreign Minister Jorge Arreaza said on Saturday Venezuela rejected "hostile" threats and called on Latin America to unite against Washington. "We have many options for Venezuela, including a possible military option if necessary", Pentagon spokesman Eric Pahon said.
On Saturday, demonstrators took to the streets again to protest the constituent assembly, which they see as a power grab, and the arrest of several opposition mayors.
"If the unlikely event of defiling the homeland came to pass, the rifles would arrive in New York", Nicolás Maduro Guerra said to state media, as reported by CNN".
"Venezuela categorically rejects the unfriendly and warmongering declarations of Trump, who has threatened us with a military intervention, in violation of United Nations principles and global law", said the foreign minister.
Trump to take executive action into China's trade practices
They spoke on condition of anonymity as they were not authorized to discuss the private call. It was not immediately clear whether his trade dispute with Beijing would be the subject.
Mexico and Colombia joined in with statements of their own.
The statement drew immediate push-back, including from the Columbian Foreign Ministry, which condemned any "military measures and the use of force", and said that efforts to resolve Venezuela's breakdown in democracy should be peaceful and respect its sovereignty.
After four months of deadly protests against his government, Maduro says the assembly is Venezuela's only hope of obtaining peace by locking in the socialist policies of his mentor and predecessor, the late Hugo Chavez.
Pence is set to meet with Columbian President Juan Manuel Santos on Sunday at the start of a weeklong trip to Latin America that is likely to be dominated by conversations about the deepening crisis in Venezuela, where the USA accuses President Nicolas Maduro of a power grab that has sparked deadly protests and condemnation across the region.
President Nicolas Maduro's socialist administration has been under siege at home and overseas after more than four months of anti-government protests in which 120 people died. "What I think Pence wants to do is shore up support to remove Maduro through other means".