Once the water pressure has been removed from your home's foundation, you can seal it from the inside using a hydraulic cement.
If you have cracks in your basement that are allowing water to seep through, use a hammer and chisel to open them up. Undercut the crack by making the inside of the opening wider than it is at the surface so as the concrete hardens and expands, it will become locked. Once the crack has been opened, clean the area with water and a stiff brush. Now mix a small batch of hydraulic cement according to the instructions, and -- with gloves on -- roll the cement into a ball.
Dampen the area to be patched and press the cement into the crack to within 1/2" of the surface. Allow the first layer to dry, and then apply a second layer to match the surface you're repairing.