I have a Lancia Delta Integrale with a suspected fuel pump problem. I tried to start the car by spraying some Bradex Easy Start into the air intake. It fired for one or two revolutions then stopped. I disconnected the fuel line and cranked the car but no fuel came out however, it did in the past when there was a fissure in the same pipe! As the car has been parked up for about 4 months, what could have happened in the meantime to cause the problem?
It sounds like you're on the right track - it'll be either a problem with the fuel pump or one or more of the fuel lines.
Does it have an in-line fuel filter? If so, is that clear? Are the rubber fuel lines in good condition - it might be worth replacing them as a matter of course, as new lines are cheap.
If it is an electric pump, you ought to be able to test it fairly easily, by switching it on and listening to it - also check the wiring to make sure it is getting power!
Mechanical pumps are harder obviously, the easiest way to test them is to remove them from the car and work the lever manually. The Integrale is injected isn't it - does it have two pumps for low and high pressure?