If using canned pineapple, drain the liquid and blot the ring with a paper towel to soak up excess moisture.
In a small, combine the mustard and mayonnaise.
Slice the rolls in half, and spread the mixture over each half.
Cut the ham slices in half, then fold each half into quarters. Place a folded ham quarter over each roll half, top two of those with a pineapple ring and top with other roll half to close the rolls.
Place the sliders into a lunch container, and add the veggies and dip to the empty compartments. Close the container and pack it into a lunch bag with an ice pack.