First, you will need to caramelize your onions. I like to cut my onion in half first, and then create thin slices from each half. I cook these onion slices in 1 tbsp of olive oil and 1 tbsp of salted butter.
Add 1/4 tsp of salt to the onions and then cook on low heat for about 45 minutes or until all onions are a dark golden brown. Stir frequently while they are cooking. Put them into a plate once they are done cooking.
Preheat the oven to 375F
Lay your Hawaiian rolls on a parchment paper lined baking sheet. Then, cut your rolls in half so that you have a set of tops and a set of bottoms.
Spread your apple jam on the insides of the rolls, dividing it evenly amongst the tops and bottoms.
Cut your 8 slices of cheese into quarters. It should make 32 smaller squares of cheese. Lay half of your cheese down on the bottom half of the rolls. I fit 16 pieces on the bottoms, by doing 4 slices across on each row.
Cut your 7 slices of ham into quarters. it should make 28 little pieces. Layer these pieces on top of the cheese.
Top the ham with the remaining pieces of cheese the same way you added the cheese to the bottom.
Add your caramelized onions on top of the cheese and then carefully put the tops of slider buns on top. Your tops should already have a layer of apple jam on the inside of them.
Press the tops of your slider buns down gently and then place some aluminum foil on top over the buns. This will ensure your tops do not get too brown. Place them in the oven for about 30 minutes. Once there is 5 minutes left on the timer, you can carefully remove the aluminum foil.
Cut and serve