You could make traditional Italian beef ragu, toast a tortilla in olive oil, fill it with the ragu, mozzarella, basil, roman beans, maybe some chopped tomatoes and olives too. Mediterranean burrito. Or you could make a Bolognese were you use beans, corn, chilis in addition (or replacing) the meat and put this on pasta. If you were really insane, you could try make pasta from a 80/20 mix of corn and wheat flour. I don't know if that could work, but I would expect the gluten from the wheat being enough to keep it together
I think however that best course of action would be to find spice mixes between Italian and Mexican spices and use these in dishes involving tomatoes, a major ingredient in both Italian and Mexican cuisine, and just going from there using ingredients used in these cuisines. This might be a bit tricky, they are quite different after all despite having similar origins
Edit: on second thought, the burrito may be soggy from the ragu. Maybe just pan fry some ground beef and add Italian spices
You could maybe cook Italian ragu and bechamel and put this in between layers of corn tortillas, topping it with one of these whacky Mexican cheeses and a mix of basil and cilantro. Pastas with lemons could also be a great opportunity to insert acidic aspects of Mexican cuisine
Just be warned that no Italian should ever see you do so. They consider putting garlic in Carbonara to be as to spit on their grandmother's grave. If you were to make a lasagne with Mexican ingredients, they would see it as if you would drag the corpse of their nonna out of the ground and play weekend at Bernie's with her. And if you ever were to visit Italy, do keep in mind that they will lynch you if they hear of your attempts to fuse Mexican and Italian