Bricks, Masonry, Asphalt and Concrete - Leaking in Bilco door foundation

I recently purchased a home with a Bilco door entrance into the basement. After heavy rains, I noticed water had come under the door frame into the basement with carpet (no padding, just layed down). I also noticed moisture on the block foundation walls in the stairwell to the Bilco doors. Is there a good sealent I can use at the base of the door that comes into the basement? The Bilco doors appear to be closed tightly, is there anything that you can recommend I do to prevent the moisture on the block walls? I'm a new home owner, so I really don't know anything yet. Thanks!