Lombardi debuted in Formula One in 1974 with a privately entered Brabham supported by the Italian Automobile Club but failed to qualify. In 1975 she was invited to join Vittorio Brambilla and Hans-Joachim Stuck at March and raced the full season. At the opening race of the campaign in South Africa, Lombardi became the first woman, since Maria Teresa de Filippis in 1958, to successfully qualify for a Grand Prix. Her race lasted for 23 laps until she was forced to retire with a fuel system problem. 1975 would prove to be an eventful season for the March Team. Brambilla scored a surprise victory in the rain-shortened 1975 Austrian Grand Prix, while Lombardi scored a Championship point in the Spanish Grand Prix. The race suffered a major tragedy after 25 laps, when the rear wing on Rolf Stommelen's Embassy Hill broke, sending him into the barrier. He bounced off it and back into the road, hitting the barrier across the way and flying over it. While trying to avoid Stommelen as he crossed the track, Carlos Pace crashed. Five spectators were killed by Stommelen's flying car with the driver suffering a broken leg, a broken wrist and two cracked ribs. The race continued for another four laps, during which Jochen Mass passed Jacky Ickx for the lead. On lap 29, the race was halted with Mass the winner, Ickx second and Jean-Pierre Jarier crossed the line in third position. Carlos Reutemann finished fourth ahead of Brambilla, while Lombardi finished in sixth. With the race being stopped before three-fourths of the scheduled race distance was reached, only half points were awarded. Lombardi's other best result was at the German Grand Prix at the Nürburgring, where she finished seventh. At the United States Grand Prix at Watkins Glen Lombardi had a one-off drive for Williams. She qualified for the race but an ignition problem prevented her from starting.