Yes, sorry, as Eric said, the cold start solenoid; this only applies to Spica-equipped cars, such as Raffi's '74, if it still has the stock injection.
A bit more background, since I didn't give any. There's a condition that sometimes rears its head on these cars that's been referred to as starter run-on, wherein the CSS, which gets its power from a connection to the starter solenoid, somehow backfeeds power to the solenoid and keeps it energized, not letting it disengage, and the engine keeps cranking, even with the key off. As far as I know, no one can explain why or even how it's possible, but it happens. The simple solution is to cut the CSS connection at the solenoid and reconnect it to the starter side, so it's only powered when the starter is getting power. There's a good thread about it here:
http://www.alfabb.com/bb/forums/elec...html#post30087
That link is to post #19 in the thread, which details the solution, but the whole thing is worth reading for some discussion on the problem.
Now, as to why this might be relevant here, if you look at the thread I linked earlier to when I was having a similar problem, my problem seemed coincident with a flooded, very difficult start condition (possibly implicating the CSS, maybe being continuously powered instead of releasing), and my voltage regulator was blisteringly hot, which made me think something was drawing way too much power. I had always meant to make the CSS mod/correction anyway, so I did that. I can't be sure it was the solution to my alternator light/hot voltage regulator problem, but in the couple of weeks since then I haven't had the problem again. Then again, it's been cold and rainy and I haven't had a lot of chance to drive her (though I did have a nice long ride to a car show and back), and on top of that it's really hard to prove a negative. All I can do is wait and see if it happens again, and the longer it goes the better it looks that it was the solution.