Preheat the oven to 350 degrees and grease a small loaf pan.
In a mixing bowl, whisk together the flour, baking soda, pumpkin pie spice, and salt.
In a second bowl, stir the pumpkin puree, granulated sugar, eggs, and vegetable oil until smooth.
Pour the wet mixture into the dry ingredients and stir just until combined.
Transfer the batter to the prepared pan and bake for 45 minutes, or until a toothpick comes out clean.
Let the loaf cool completely in the pan.
In a clean bowl, beat the cream cheese until smooth, then mix in the powdered sugar, milk, and vanilla extract until the glaze reaches a drizzling consistency.
Remove the loaf from the pan and drizzle the glaze over the top before slicing.