Sounds like a good time to invest in VIDA/DICE. This diagnostic tool would allow you not only to check for potential sensor issues but also to measure fuel pressure in real time.
Also, do you know when the spark plugs were last changed? If they've been missed by the previous owners for some time (i.e. 'essential' rather than scheduled services being carried out) they might be in poor condition and hence giving poor performance when cold.
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2007 XC90 V8 Sport
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