Born in Segrate, Angiulli made his professional debuts with Valle d'Aosta, in Serie D. After the club's bankruptcy he moved to Pergocrema, in Lega Pro Prima Divisione.
On 16 July 2012 Angiulli joined Avellino,[1] taking part of the squad who won the 2012–13 Lega Pro Prima Divisione.
On 19 October 2013 Angiulli made his Serie B debut, coming on as a late substitute in a 4–1 home routing over Carpi.
On 23 July 2014 he was signed by Lega Pro club Reggiana in a two-year deal.
[2] In January 2016 he was loaned to Benevento with which reached the top spot in the Pro League Group C; at the end of the fall season at Reggiana.