From 1988 to 1996, the Bologna Motor Show held the "Formula 1 Indoor Trophy", an exhibition series of races for F1 machinery held in a purpose-built arena, somewhat reminiscent of the Race of Champions or a super-special stage in the WRC. Loyally attended by Minardi and the other non-Ferrari Italian teams of the time, the event featured a number of drivers who never made it to Grand Prix competition, and also one team (FIRST).
WTF1.com have published a lavishly-illustrated write-up of the event's history, and TV coverage of the 1992 edition also exists on YouTube: