Renzo B and Marco P were killed in the Rolwaling Valley by a landslide which was prompted by a 7.8-magnitude earthquake, Corriere della Sera reported.
Five Italians remain missing, including 24-year-old climber Giovanni Cipolla.
Four cavers from Italy’s Corpo Nazionale Soccorso Alpino Speleologico (National Body for Alpine and Speleological Aid) are also missing, the organization’s president, Paola Riccio, was quoted by La Repubblica as saying.
The four were named as Giuseppe Antonini , Gigliola Mancinelli and Oscar Piazza, from Trentino-Aldo Adige, and Giovanni Pizzorni, from Genoa.
Two Italian climbers, who were at the foot of Everest, are safe, the newspaper said, as are two brothers from Florence who had been doing voluntary work and travelling in the country for two weeks.
Three hundred other Italians in Nepal have been traced and are unharmed, Italy’s foreign ministry said.
The latest death toll from the disaster stands at more than 3,500.