If the bulb is soft but not collapsed, the pump isn’t drawing fuel. If the bulb or line are collapsing, there is a retrriction in the fuel inlet or a venting problem. Are you sure you got the check valves in correctly? You can check by slightly squeezing the bulb to see with the pump split to see where the fuel enters. That cavity should have the valve to allow inward pressure and the other one would be flipped.
You could help us by either posting a pic or describing the vacuum/pulse arrangement for your pump.