Court papers state Dragsnes, from Possilpark, engaged in a stand-up fight with Mellon and a 16-year-old boy.
He then allegedly presented a knife at them then repeatedly struck and stabbed Mellon on the body with the blade.
Court papers also state he then concealed or destroyed the knife used in the alleged murder.
Dragsnes was committed for further examination and will appear in court again within eight days.
Det Insp Lynn Donnelly said: “Our thoughts first and foremost are with Jack’s family and friends, and all those affected by this incident.”
She added that there would be a police presence in the area while the investigation continued.
