Heat shaved ham in olive oil in a large skillet with Jalapeño Dust seasoning. Cook until edges start to brown. Sprinkle shredded Monterey jack cheese over ham and cover with lid until cheese melts.
Remove ham and cheese from skillet. Set aside. Add a couple more tablespoons of olive oil to pan and toast both sides of bread. Spread mayo on bread, add ham and cheese and top with fresh basil. This is our go-to ham sandwich!