Rodríguez was given a guest drive by Ferrari for the 1961 Italian Grand Prix, qualifying a surprise second and becoming the youngest driver in history to start from front row (19 years and 208 days), a record that would not be beaten until the 2016 Belgian Grand Prix by Max Verstappen. In the race he exchanged the lead with Phil Hill and Richie Ginther many times, until a fuel pump failure ended his race. 1962 saw a full works drive with Ferrari, who used him sparingly considering his age and rough edges. Whenever used, Rodríguez shone, taking second at the Pau Grand Prix, fourth at the Belgian Grand Prix and sixth at the German Grand Prix in a tough year in Formula One for Ferrari. He also won the 1962 Targa Florio edition with Olivier Gendebien and Willy Mairesse in a Ferrari 246 SP.