In a large shallow bowl, whisk together eggs, pumpkin puree, milk, maple syrup, vanilla, cinnamon, nutmeg, ginger, cloves, and salt.
Whisk until the pumpkin mixture is completely smooth.
Heat a large skillet or griddle over medium heat.
Add a small amount of butter to the pan.
Dip one slice of bread into the pumpkin custard for approximately 10–15 seconds per side.
Allow excess custard to drip off before placing the bread in the skillet.
Cook for 3–4 minutes per side, or until golden brown and cooked through.
Repeat with the remaining bread, adding more butter to the skillet as needed.
Keep cooked slices warm in a low oven while preparing the remaining French toast.
Serve immediately with maple syrup and your favorite toppings.