Cutting out when cold

Our Eunos is misbehaving. When started from cold it will idle fine and if left to warm up for 2 mins and the driven it is fine.
However, if started from cold (must be properly cold, left for 6 or eight hours), if you drive it it is dead, and will cut out if left to idle in the first few mins of driving.
Once warmed up it is fine, runs perfectlyu smoothly.
Any ideas what could be causing this? I have checked the HT leads, all are seated correctly, no obvious loose connections.
However, if started from cold (must be properly cold, left for 6 or eight hours), if you drive it it is dead, and will cut out if left to idle in the first few mins of driving.
Once warmed up it is fine, runs perfectlyu smoothly.
Any ideas what could be causing this? I have checked the HT leads, all are seated correctly, no obvious loose connections.