Place a large skillet over medium heat and drizzle the olive oil. Arrange hashbrowns in a single layer and cook for about 10 minutes or until browned on bottom. Flip the hashbrowns over and continue cooking until browned and cooked through.
Cook eggs according to your preference.
Layer the cheese, eggs, meat, and hashbrowns on one slice of bread. Sprinkle on a bit more cheese on top. Top with the remaining slice of bread.
Grill on panini grill until the cheese is melted and the bread is crispy and golden brown.