[1][2] Giglio is the Shadow Minister for Infrastructure and Capital projects and was previously the Nationalist Party spokesman on internal affairs.
Giglio was briefly considered for leadership of the Nationalist Party against incumbent leader Bernard Grech in April 2022.
He is a senior partner as well as a Director at a local legal company where he heads the criminal law Department that specialises in corporate and vicarious liability.
He is often invited to address various seminars and take part in talks focusing on criminal law.
A former lawyer for Pilatus Bank, Giglio came under controversy when, in a June 2022 interview, he criticized a whistleblower who had exposed a corruption scandal by Pilatus Bank in 2018;[9][10][11][12] Since January 2024, he is now serving as Shadow Minister for Infrastructure and Capital projects.