Why won't my Car start in the morning? fuel line and system checked out ok. on 1997 Volkswagen Cabrio

The car runs fine after the sun comes up and it gets closer to noon, but won't start in the morning. Sometimes it will fire up and run for 5 or so seconds, and then quits. I had the fuel system checked and the mechanic says that it is an electrical problem that he is not equipped to deal with. He told me to go to the dealer, but I am worried about the cost. Has anyone else had this problem? There is also an intermittent "check engine" light as well, but this pre-dates the start up problem.

Asked by for the 1997 Volkswagen Cabrio
Call Adrian and see if can he have her towed over to Contra Costa Auto Service in Concord. He know these European cars well. (925)798-1205. GL