He was for 10 years the organization's European Director and member of its senior team, curating and co-hosting TEDGlobal, TEDSummit and various TED special events.

Besides his role with TED, he is the Chairman of FIFDH, the Geneva International Film Festival and Forum on Human Rights, which takes place every year in March, and a member of the Board of Directors of Tinext Group, a Swiss software firm he co-founded.

Since 2005, he has curated hundreds of TED Talks, including by Pope Francis, Antonio Guterres, Margrethe Vestager, Elif Shafak, Daniel Suarez, Jennifer Doudna, Alejandro Aravena, Melissa Fleming, Malte Spitz, Charmian Gooch, Taryn Simon, Melinda Gates and Bill Gates, Amy Cuddy, Alain de Botton, Glenn Greenwald, Suzanne Simard, Yanis Varoufakis, Wayne McGregor, Jon Ronson, Yuval Noah Harari, Tim Harford, Richard Wilkinson, Hans and Ola Rosling, Pico Iyer, Dambisa Moyo, Zeynep Tufekci, Michael Green, Elizabeth Lev, Hilary Cottam, Vincent Moon and Nana Vasconcelos, Kimberley Motley, Fred Swaniker, Gerard Ryle, James Veitch, Carole Cadwalladr, Tim Berners-Lee, Alex Honnold, Johan Rockström, Nicola Sturgeon, Tshering Tobgay, Tracy Chevalier, George Monbiot, Alain de Botton, Chimamanda Ngozi Adichie, and Mariana Mazzucato.

Since 2017 Giussani is the chairman of the Geneva International Film Festival on Human Rights (FIFDH in its French acronym).

His writings have been published in newspapers, magazines and websites in Europe and the United States, including The New York Times (for which he wrote the EuroBytes column from 1996 to 2000), The Wall Street Journal Europe, the European editions of Wired magazine, The Economist, Business Week, The International Herald Tribune, the Neue Zürcher Zeitung (Switzerland), L'Hebdo (Switzerland), Libération (France), Il Sole-24Ore (Italy), The Huffington Post, and more.

"[3] In 2005 he launched with L'Hebdo the annual Forum des 100 in Lausanne, which he hosted for 10 years and which is today considered the foremost conference in Western Switzerland.