The United States has said it will reject the Venezuelan election, the timing of which also drew condemnation from several of Venezuela's neighbors as well as nations in Europe.
They urged the government to present a new electoral calendar.
Venezuela's President Nicolas Maduro has ordered the reopening of the country's consulate in Miami, home to a sizeable anti-government community, before presidential elections on April 22, reversing a move by his predecessor Hugo Chavez.
Venezuela's foreign minister had recently tweeted that Maduro planned to attend. Peru's decision was made with the support of the Lima Group, which upheld the high democratic standard for Summit participation.
According to the Lima Group, the call "makes it impossible to hold democratic, transparent and credible presidential elections, with the participation of all Venezuelan political actors, with observation and global standards".
"Cuba energetically condemns the pronouncement of a group of countries of the Western Hemisphere of February 13 in Lima, that constitutes an unacceptable interference in the internal affairs of the Bolivarian Republic of Venezuela", highlights a declaration of the Cuban Foreign Ministry.
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"In Colombia, they are planning to revive eras that had ended in human history, like military bombing, a military invasion or the occupation, through blood and gunfire, of a peaceful country like Venezuela", Saab said on national television.
'I appreciate the offers of financial and other aid from the worldwide community.
Last week, Santos tightened border controls and heightened security in frontier towns.
Colombia's migration authority says the number of Venezuelans living in Colombia has skyrocketed in recent months, with an increase of 62 percent to 550,000 in just the last six months of 2017.
The declaration refers to a meeting in the Peruvian capital of the so-called Group of Lima, formed also by Argentina, Brazil, Canada, Chile, Colombia, Costa Rica, Guatemala, Guyana, Honduras, Mexico, Panama, Paraguay and St. Lucia, designed as an external front of the Venezuelan opposition.
The president said the embargo would be inconvenient both for the United States and Venezuela, and would be one of Trump's biggest political mistakes.