Step 1

Lay out 3 rows of 12 slices of bread.

Step 2

In a food processor, process ham (in batches if needed) until ham is well chopped. Place ham in a medium-sized bowl and stir in mayonnaise until smooth and well combined.

Step 3

On 12 slices of bread, spread about 2 Tbsp. of Cheez Whiz (like you would peanut butter).

Step 4

On another 12 slices, spread the ham mixture.

Step 5

Top the cheese slice of bread with the ham spread slice, then top with the plain slice of bread. Repeat with all bread slices.

Step 6

Using a sharp knife, gently cut away the crust from each "sandwich". Cut each square in half and then half once again in the same direction (making long rectangles as seen in the picture).

Step 7

Place finger sandwiches (trying not to overlap) in large Ziploc bags and refrigerate until ready to serve (up to a day ahead of time-- *see above note).