Born in Rome, Sollima is the son of the director and screenwriter Sergio Sollima. He started his career as a camera operator realizing numerous reports from war zones for several television networks, including CNN, CBS, and NBC. In 1991 Sollima debuted as a director with the short film Grazie, which was awarded at the Turin Film Festival. His following short films were selected in important festivals, including Cannes Film Festival, Venice Film Festival and Sitges Film Festival.
Active as a television director since 1998, he had his breakout in 2008, thanks to the critical success series Romanzo criminale – La serie. In 2012 Sollima made his feature film debut with the crime-drama ACAB – All Cops Are Bastards. In 2014 Sollima created the acclaimed TV series Gomorrah.
In 2015, Sollima directed the crime drama Suburra, produced by Netflix and Cattleya, which got him another Nastro d'Argento nomination, this time for Best Director. A 10-episode TV series based on the movie will debut in 2017, being the first Italian Netflix Original Series.
He will make his English language debut in 2017 with action-crime thriller Soldado, an anthological sequel to Denis Villeneuve's Sicario. The film, which stars Benicio del Toro and Josh Brolin, began filming in late 2016 in New Mexico.