Preheat a panini press to 300 degrees F. Add the ingredients for the creamy pesto to a food processor. Puree until smooth.
Butter 8 slices of bread, then flip them over and spread the creamy pesto on the opposite side. Place 4 slices, butter side down, on the panini press. Layer each with 2 slices ham, a small handful of artichokes leaves, 2 slices salami and the other slice of bread. Close the panini press and grill for 3-5 minutes.
Then remove the sandwiches, open them up and add a handful of alfalfa sprouts. Press them closed again, cut and serve warm.