Any "lean" mixture codes? Thinking a leak in any of the intake hoses or vacuum lines. You might want to do a fuel pressure test. Odd that it only does it when cold. And, at this point, the injectors come into question as well.

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Dave S.
Northeast
2003 4.6is
2005 E53 4.4
2003 E39 Msport(a REAL ONE!)
1959 Fiat 600