Thirteen nations announced on Friday that they would not recognize the legitimacy of the new presidential term of Nicolás Maduro of Venezuela, who is set to be inaugurated next week for a second time.

Diplomats from Argentina, Brazil, Canada, Chile, Colombia, Costa Rica, Guatemala, Guyana, Honduras, Panama, Paraguay, Peru and St. Lucia issued a joint statement after meeting in the Peruvian capital, denouncing last year’s election as flawed and urging Mr. Maduro to hand power to the opposition-controlled National Assembly until another election could be held.

“The electoral process carried out in Venezuela on May 20, 2018, lacks legitimacy due to the lack of participation of all Venezuelan political actors, without the presence of independent international observers, or the guarantees and standards necessary for a free, fair and transparent process,” the statement read.

The signatories, part of the so-called Lima Group — a multilateral working group of Latin American countries plus Canada that organized to find a peaceful solution to the crisis in Venezuela — urged Mr. Maduro not to assume the office, saying that the only way to restore democracy was for him to step aside.