Set the bread, pesto, turkey, cheese, tomato, and greens on a cutting board.
Toast the bread for 2 to 3 minutes, until the surface feels dry and the edges are pale gold. Let it cool for 1 minute.
Divide the pesto between both bread slices. Spread it in a thin layer, leaving about 1/4 inch bare around the edges.
Arrange the turkey on one bread slice. Fold large pieces and overlap them slightly to create an even layer.
Place the provolone over the turkey, turning the slices in different directions to cover more of the meat.
Blot both sides of the tomato slices with a paper towel. Place them over the cheese, season with black pepper, and add the greens in a flat layer.
Place the second bread slice on top with the pesto side facing down. Press the center lightly for 2 seconds.
Cut the sandwich with a sharp serrated knife using slow back-and-forth strokes. Serve whole, in halves, or as 4 triangles.