Slice rolls; spread mayo on the bottom and squeeze them into an 11x15 sheet pan. Place one slice of ham and one slice of cheese (each of these folded in half) on the bottom half of each roll, then replace tops.
Whisk together remaining ingredients. Brush tops of the sliders liberally with sauce, then pour remaining sauce over all. Cover pan with foil and refrigerate for 4 to 24 hours. Bake covered in preheated oven, 350 degrees, for 10 minutes. Uncover and bake another 10 to 15 minutes until the tops are golden brown. Garnish with chopped herbs such as basil and parsley if desired.
Enjoy with Peach Creek Vineyards Regal Red Wine.
Adapted from http://syddallfamilyeatingitup.blogspot.com; picture credit to same.