Dr Graglia teaches the following courses:

At undergraduate level:

HY113 - From Empire to Independence: The Extra-European World in the Twentieth Century

HY116 - International History since 1890

In 2017, Dr Graglia was recognised in the LSESU Teaching Excellence Awards with a highly commended nomination in the category of "Excellent Welfare and Pastoral Support”. In 2018, he was a runner-up in the Mentoring and Personal Development category and also highly commended in the Welfare and Pastoral Support category. The LSESU Teaching Excellence Awards are the only awards at LSE that are student-led. Students make the nominations and students choose the winners.

• ‘Le Due Esposizioni della SS. Sindone (1931 – 1933) e la ‘Sacralizzazione della Politica’ nel Ventennio’, in Annali della Fondazione Einaudi, XXXXVII, (Firenze: Leo S. Olschki, 2013), pp. 333-359. 
• ‘Una Discussione sul Ruolo dell’Educazione Superiore nello Sviluppo del Pensiero Anti-Fascista in Piemonte’, in Il Presente e la Storia, 76 (December 2009), pp. 301-327. 

• ‘Preserving Heritage and Resisting the Regime – the Turin Workers in the 1920s and 1930s’, Institute of Historical Research, London, War, Society and Culture Workshop, December 2013.
• ‘The Exhibitions of the Holy Shroud – 1931,1933 – Social mobilization and political sacralisation’, University of Newcastle, Seminar Funded by the Royal Historical Society, February 2013.
• ‘Monarchy, Monarchism – Piedmontese Traditionalism in the Fascist Period’, University of Newcastle, Seminar Funded by the Royal Historical Society, February 2013.

• LSE International History Research Studentship (2011-2014)
• Fondazione Luigi Einaudi  Scholarship (2011-2012)
• Rotary Club International Ambassadorial Scholarship (2011-2012) – declined
• Royal Historical Society Research Grant (2011-2012)
• United World Colleges Full Scholarship (2004-2006)