Any chance you can post a photo? This sounds more like a concrete porch. It's not uncommon for concrete porches to settle more near the house producing a slope that drains water to the house instead of away. The reason is because builders are in a hurry and the ground near the house hasn't been compacted and the porch footing doesn't go down to undisturbed earth.
How old is the house and how old is the concrete?
How old is the house and how old is the concrete?