Chop the onion and green bell pepper and place in a mixing bowl. Add the bitter orange juice, lime juice, salt, and black pepper and mix everything together well. Set aside.
Clean the eye of round roast by removing the strip of fat that's on the side of the roast. Next, cut the roast into 2 inch thick slices.
Add the two cups of water to the Instant Pot. Place the pieces of roast into the pot and then close the pot and set it on Manual High Pressure for 20 minutes.
Once the cooking time has completed, allow for a 15-minute natural pressure release. Release any remaining pressure, open the Instant Pot and remove the eye of round from the pot. Place the pieces of roast on a cutting board and allow them to cool for a few minutes.
Cut the roast into small cubes and place into a food processor and pulse until the meat is finely chopped.
Place the minced meat into a bowl and add the onion and pepper mixture to it and stir everything together very well.