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Hi,Welcome to Just Answer, My name isXXXXX will be helping you with your appliance issue today.
if you replaced both the ice maker and the water valve its the control board thats the issue. this will need to be replaced, if you pull the refrigerator away from the wall on the back there will be an 8 x 10" cover, remove the cover and you will find this board, you can order this at the link below.
http://www.repairclinic.com/PartDetail/Control-Board/1531075?modelNumber=PSS27NHMACC there are relays on this board the control everything including the water valve, the relay for the valve has failed and is welded closed, hope this helps thanks and well wishes, Bryan