His first match of the season was against Adam Duffy in the qualifying round for the 2013 Wuxi Classic; Drago lost the match 2–5. In the qualifying rounds for the 2013 Australian Goldfields Open, Drago defeated Christopher Keogan 5–2 and Thepchaiya Un-Nooh 5–4, making a crucial 75 break in the deciding frame. In the third qualifying round, Drago was trailing Tian Pengfei 1–3, before winning four consecutive frames, including a 111 break, to win the match 5–3; however, he lost in the final qualifying round 3–5 to Ryan Day, despite leading 2–0 and 3–2.