I see the splash block sitting on top of the "overspout"!

We had water issues in our basement too. I actually saw little geysers an inch or so high coming out of cracks in the basement floor after a heavy rain.
These problems mostly all went away when we installed new gutters ("commercial grade"), with 10-foot corrugated plastic pipes to carry the water away from the foundation.
Now we get a little ground water incursion if there's more than about 8" in a short time. On our "wish list" is installation of a sump and drain tiles so we can finish the basement. Sadly... $$$.