Add the ingredients for the olive salad to a medium mixing bowl, stir well and refrigerate for 2 hours.
Slice the muffuletta bread in half then spoon half of the olive salad on the bottom slice.
Top with the cold cuts.
Spoon the remaining olive salad on top of the cold cuts and top with the muffuletta bread.
Wrap the sandwich in foil and refrigerate for 2 hours.
Heat oven to 350°F and bake (still in the foil) for 30 minutes.
If you prefer you can skip the baking part if you prefer your muffuletta sandwich cold.
Notes
This Cajun muffuletta sandwich is one that can be enjoyed baked (with melty cheese) or eaten cold. Allowing the muffaletta olive salad to soak together for those first 2 hours really helps the flavors come together.You could place something heavy on top of the sandwich for those 2 resting hours to smush together. Allowing the sandwich to rest for 2 hours before eating/baking helps the oils from the olive salad to soak into the bread just right.