In a mixing bowl, combine cream cheese, chopped olives, scallions, and corned beef. Stir until combined.
On a tortilla, spread approx. ¼ cup of the cream cheese mixture, spreading to the edges. Roll up the tortilla and set aside. Repeat with the remaining tortillas.
Wrap the roll-ups in plastic wrap and refrigerate at least 4 hours or overnight. Slice into ½-inch slices and serve on a platter, garnished with chopped scallions.