The second round of meetings this week in Norway are part of international efforts to resolve a conflict between Maduro and the U.S.-backed opposition leader Juan Guaidó over who should run the country.
Norwegian Foreign Affairs Minister Ine Eriksen Søreide provided few details of the talks held behind closed doors, but reported some advance.
"The parties have demonstrated their willingness to move forward in the search for an agreed-upon and constitutional solution for the country, which includes political, economic and electoral matters," she said in a statement.
Norway also urged both sides to exercise "utmost caution" in their public statements about the talks in order to maintain the integrity of the process and achieve results.
Guaidó declared he was assuming presidential powers in January as head of the opposition-led congress, arguing that Maduro's re-election had been illegal. Dozens of countries, led by the U.S., have recognized him, but Maduro remains firmly in control of the institutions of state.
The opposition leader launched a failed military uprising on April 30 that triggered a government crackdown against the opposition.
Even as negotiations played out in Norway, the pro-Maduro Supreme Tribunal of Justice stripped the immunity from prosecution of opposition lawmaker, Rafael Guzman, bringing to 15 the number of anti-government politicians accused of treason and instigating rebellion, according to a court statement released Wednesday.
The congressional vice president, Edgar Zambrano, was arrested May 8 on similar allegations, while several other accused National Assembly members have sought refuge inside foreign embassies in Caracas.
"We will continue advancing in the defense of our constitution toward achieving peace and democracy," tweeted Miranda state Gov. Héctor Rodríguez, who is part of Maduro's negotiating team.
Maduro accuses the Trump administration of mounting a coup against him to install a puppet government led by Guaidó. Maduro maintains backing from Russia, China and Cuba and many other nations.
The socialist leader also holds onto control of the military, despite deepening shortages of basic goods that have helped drive 3.7 million to flee the country in Latin America's biggest migration crisis.
Drivers wait in long lines to fill up with gasoline across much of the nation, the result of Venezuela's failing oil industry and punishing U.S. sanctions aimed at pressuring Maduro from power.
Shortages of life-saving medicine that have led to the deaths of children battling cancer have also ignited a dispute between the government and opponents over who is to blame.
The opposition had previously ruled out talks, accusing Maduro of using past negotiations in a play for time, and has demanded Maduro's resignation and the holding of early elections.
Norway has a long, successful history of foreign mediation. It hosted peace talks between Israelis and Palestinians in September 1993 and Maoist rebels and the government in the Philippines in 2011.
The government also brokered a 2002 cease-fire between Sri Lankan government and Tamil Tiger rebel negotiators. Seven years ago, mediators from the Colombian government and left-wing rebels held their first direct talks in a decade in Norway.
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