Preheat your oven to 350.
Put your oatmeal in a food processor and let it process one minute at a time, until it's a fine "flour-like" consistency.
Place the "oatmeal flour" in a bowl and set aside.
Slice up the banana and add it and the peanut butter to the food processor.
Let it run until it's combined. You may have to use a spoon to scrape the edges of the processor and let it run again.
Set aside a couple of tablespoons of the "oatmeal flour".
Slowly pour the rest of it into the food processor while it's running with with peanut butter and banana mixture.
Sprinkle the reserved "oatmeal flour" onto a dry, flat surface.
Roll out your homemade dog treats dough until it's about 1/4" thick.
Use a cookie cutter (I used a dog bone shaped cookie cutter) and cut out the homemade dog treats and place them on a greased cookie sheet.
Bake them at 350 for 12-15 minutes. Check them at 12 minutes, and if they already look dark, pull them out.
Let them cool on the pan for 5 minutes before transferring to a cooling rack.
Store in an air-tight container for up to 2 weeks.