Car stalled a few times, then completely. Fuel pump replaced--didn't fix problem.

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Car stalled today at stop sign after driving a block. Put in 'park' and restarted. When shifted into drive I felt a slight hitch in the gear. Drove a couple of blocks, car stalled again. This repeated a couple more times then stalled completely. Towed to mechanic who diagnosed problem as failed fuel pump. Installed new fuel pump and filter but the problem remained -- wouldn't start. What do you think could be the problem? Thank you