Sport track fuel problem EFI

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Got a problem come up it seems my cold start sensor is playing up Unknw
It will tick over then drop it's rev's and run black smoke out the exhaust Unknw
Some times you can stop and the dam thing will not start only when hot leave it to cool and it is fine.

Been down to local dealer and there is no sensor on there listings ??
It is at the back of the engine against the bulkhead left of dizy looking at the engine from front (I think)

Any one got any ideas on this as it is doing my head in

Engine is the same as Grand Move 1.6 petrol
Thank's Gordon