He was promoted to the works Ferrari line-up for 1962, but took just two Championship placings – fourth at the Dutch Grand Prix, and fifth at the Italian Grand Prix, as Ferrari was outclassed by the British teams. Baghetti took second in the non-Championship Mediterranean Grand Prix. He was offered a full Ferrari F1 drive for 1963, but had already signed with a rival team. Enzo Ferrari rated Baghetti highly, calling him, 'a lesser Varzi'. Baghetti was involved in 1963 in the disastrous ATS effort in 1963, joining up with Phil Hill for Carlo Chiti's breakaway team, but failed to register a finish from five starts. For 1964 he switched to Scuderia Centro Sud's outdated BRM P57 cars, peaking with seventh at the Austrian Grand Prix. His Grand Prix career was then virtually over, though he had three more one-off drives, all at the Italian Grand Prix – a works Brabham in 1965, a Reg Parnell-semiworks Dino Ferrari 2.4 V6 in which he ran strongly ahead of Arundell's Lotus V8 Climax and Anderson's 2.7 litre Brabham, running 5th in 1966 and a similarly competent drive in a works Lotus 49 in 1967, running in midfield and passing Amon and Ickx and would have scored a point but for a blown engine.