Galan will play either Canadian Denis Shapovalov or American Brandon Nakashima for a place in the fourth round.
Roberto Bautista Agut predicted a great future for Jannik Sinner after going down to the Italian teenager
The World number 14 subdued the young Russian 6-3, 6-4 to capture his fifth ATP singles title.
Images from Day 5 of the Australian Open in Melbourne on Friday.