Make sure your not sucking in any air through the pump inlet tubing. The slightest bit can keep the pump from priming. Recheck to make sure the strainer bowl is properly seated and is tight.
Check any flexible vinyl tubing between the tank and pump. I have had to replace the short pieces of vinyl tubing on the pump inlet a couple times because the tubing had lost its pliability and was no longer sealing on the fitting hose barbs no matter how much I tightened the hose clamps. Air was being sucked in between the tubing and barbs. New tubing and new hose clamps solved the problem.