A 51-year-old man charged with murdering a food delivery courier in Melbourne's central business district engaged in disruptive behavior during a court appearance on Monday.

Roberto Urbano appeared via video link in the Melbourne Magistrates' Court, where he faces charges of murder and intentionally causing serious injury following the Friday night incident that resulted in the death of 47-year-old Feng Jianming.

During the proceedings, Urbano shouted and pulled down his pants to expose himself.

Additional information is anticipated as the legal proceedings progress.