I posted this question in the other forum, because I cannot attach the pictures here, can you please look at the below link so you look at the pics and give me feedbacks on how I should frame this last wall for my basement project? Thanks

Hello... I'm new here and I have a question for the group. I live in a 15 year old home. Whenever it rains or snows heavily I get water that builds up in the basement around my back door. Since there are bilco doors, there are also concrete steps going down to the basement which is entirely below the ground. *Thumping my head on this one here.... Apparently previous owners filled the drain that was at the bottom of those steps, with concrete, thus leaving the water to pool outside with no where to drain. Even with that situation, I'm confident that this is not how the water is coming in through the basement because even with the leaking, the bottom of the steps remains dry. The only other thing I can think of is that where the bilco doors meet the house, could be the cause. The basement is not finished and is made of cinder block walls and concrete flooring. Where the door frame is located, there is a considerable gap of one inch between the wood frame and the cinderblock, which has been filled in with some sort of caulk or foam. Would this be the area of the leak? There never seems to be enough water (usually less than 1/4 inch) to reach the sump pump which is located on the same end of the basement (the south wall) but on the opposite side from the door. But the water does seem to reach as far as 7 feet away from the door. I would like to finish the basement, but can't do this until I can determine the source of the leak. Any suggestions? Thanks!