Mine does this too sometimes when warm. I have to give it gas to keep it going then it levels out. Unsure if fuel filter was changed. Replaced the DMTL pump. However, mine is supercharged and prior to rebuilding the blower it was spritzing oil into the intake, not sure if the issues are related.

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740iLDUKE
01' DINAN 7 S62 Swap - Stratus Grau
(1587 produced in SG 440)
02' 4.6is DINAN X5 S2 Supercharged
833/3258 produced | 1/27 Dinan X5's