Saagali,
Let me focus your searching...first understand these cars complex fuel injection systems do NOT like to sit idle for extended periods.
You should probably remove the fuel tank sender unit and kind of inspect the inside of the tank. Rust can be trouble.
Check all your fuel lines from tank to pump--hardened? Maybe they need replacement.
The fuel pump need to provide both volume and pressure; measured at the fuel injection pump; these are critical to good running.
Blow out the steel lines from pump to FI pump; check their integrity.
You need to see if the FI pump is working or gummed up; often times, if you get the cold start working, and fuel delivery verified, a problem in the pump might be indicated by the car stalling after the cold start kicks off.
You need to see if your cold start injector is working.
You need to check the fuel injectors themselves, too.
This is not a "how to" but mere mention of the kinds of things you'll need to search further on. Hopefully I should not have to say (but I will) be very careful working around fuel--particularly since pumps are involved.
We have vendors on our list who can renew or exchange the FI pump for you. Cold starts can often be renewed. Sometimes the injectors can be cleaned. Some people claim good luck with old gas tanks in a "renew" process; others replace them. The fuel pumps can be rebuilt.
Hopefully with some of the information above you have some additional keywords for the kinds of searches you'll need to do.
Best of luck!
