(T) 1.9 MJET starting problem

Hello Everybody !
So, I have a 2006 Fiat Sitlo with 1.9MJET 120HP engine.
Sometimes when i try to start the engine, i can not to start first.
But if i dont move the key to MAR position after the engine is starting but looks like the ignition is interrupted !
If the engine hot is ok if the engine cold is ok but if the temperatur is around 15-25 C i have a interesting problem.
I have made a video and i share it .
I like to find any souliton. The car was in the fiat service. no error, nothing. The last OS is loaded in the ECU and the CR system is working perfetclly. ( the car was in a BOSCH serrvice too )
So, now i have not more solution.
I tried to clean the MAF sensor ( i can ) but nothing.
here is the link

thank you

Have you checked your glow plugs / Battery cranking amps ?

Hi,
I checked everything. I replaced the battery and nothing.
the glow plugs looks like ok because i cheked step by step one by one.
Ok! i did not remove the plugs only i cheked with AMPER meter and looks like OK

Hi! I have exactly the same problem on my 05 Stilo 1.4 - did you solve it?