Could be a clogged fuel line too. I had one that acted like that before i finally figured out the line coming from tank was clogging occasionally. Would randomly die at times. I tried everything -- tank screen, lift pump, filters. Finally replaced that line with a 3/8 id rubber one from tank screen up to lift pump. Easy to do, cheap. Never had anymore problems.

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What Would Rudolph Do?
1975 300D, 1975 240D, 1985 300SD, 1997 300D, 2005 E320 , 2006 Toyota Prius