Drizzle a few tablespoons of kahlua on the bottom of the pan. Place one layer of ice cream sandwiches on the bottom of a 9x13 pan, making sure to fit them snugly together. You may need to cut them in half (or vertically) to arrange them together.
Pour about a cup of kahlua onto the sandwiches, waiting until the Kahlua disappears into the holes of the sandwiches.
Before serving, sit out 5 minutes to soften. Remove plastic wrap and cut into squares to serve.