The current pope, Pope Francis, was elected on March 13, 2013, during the 2013 papal conclave. He was elected on the second day of the conclave after several rounds of voting and chose the papal name Francis.

Regarding the next papal election, following the death of Pope Francis in 2025, the College of Cardinals announced that the conclave to elect his successor will begin on May 7, 2025. This date was set after the traditional mourning period, and the voting will take place in the Sistine Chapel. The conclave is expected to involve 135 cardinals under the age of 80 who are eligible to vote.

So, the most recent papal election was in 2013, and the upcoming election following Pope Francis' death will be on May 7, 2025.