He earned a total of 27 caps for his national team, scoring 3 goals and being selected for the 1994 FIFA World Cup in the United States; in the last group stage match, as Colombia was already ousted, he netted in a 2-0 win against Switzerland [REF].
Previously, Gaviria participated in the football tournament at the 1992 Summer Olympics in Barcelona, Spain, scoring twice,[REF] and appeared at three stagings of the Copa América, earning two third-place finishes in the 1993 and 1995 editions.