Plug in your panini press and let is get hot.
Brush the olive oil on one side of each piece of bread. These are the sides that will be touching the panini press.
Place a piece of bread on a plate, olive oil side down. Spread on the pesto and then layer on the turkey, brie and arugula. Top with the remaining piece of bread.
Place into panini press and close. Let it toast for about 5 minutes until its golden brown on the top and bottom. Remove, slice and serve.