Heat a panini press or skillet to medium heat.
Brush one side of each slice of bread with olive oil. Layer turkey, apple slices, and brie slices on bread.
Top with remaining bread slices, oiled side up.
Press panini making together and grill for 3-4 minutes, or until bread is golden on the outside and melted on the inside.
If using a skillet, take another heavy-bottomed skillet and press on top to brown the bread. Then flip over and brown the other side.