1. 1Cracked exhaust manifolds are the classic 360 issue. The tubular steel headers crack from heat cycling, often flagged by a cold-start ticking and heat discoloration near the shields. Many cars get aftermarket stainless replacements. Check the mounts too: perished hydraulic engine mounts add vibration that accelerates header failure.
2. 2On F1 cars, scrutinize the automated single-clutch and its hydraulic pump. The clutch is a wear item sensitive to low-speed and city use. Confirm the pump and actuator are healthy.
3. 3Budget for the belt-driven engine's periodic cam-belt, tensioner and water-pump service, and more with engine-out work. Get a full service history and a specialist pre-purchase inspection.
4. 4Manual cars are the ones to find and are worth a premium: only a few hundred US 360s were 6-speed manuals. Also check later cars for the sticky soft-touch trim that degrades into a tacky film.
5. 5On cars built before about 2001, confirm the cam-timing variator was updated under Ferrari's factory service campaign (owners cite Campaign 236 or Service Campaign 97). The early variator can fail and let a valve meet a piston, so verify the revised part is documented in the history file.
6. 6Expect worn suspension: the front ball joints and rear tie rods wear fast, often every 10,000 to 15,000 miles, so listen for a clunk over bumps. Ignition coil packs also fail and cause misfires, and a persistent misfire can cook the catalysts, so chase any rough running before buying. The alarm siren hides a sealed internal battery that dies and can leak onto its board (a solid red dash LED is the tell) and can blow fuses feeding other systems like the A/C; it is a replace-not-repair item.
7. 7Check the recall history. Early cars were covered by campaigns for the ABS/ASR control unit (NHTSA 00V099000) and an instrument-cluster brake-warning-light software fault (01V025000), and cars built through May 2000 fell under a starter ring-gear campaign (00V340000) where a failed gear could shed fragments into a tire. 2003 cars were also included in the power-steering hose recall (04V294000). Confirm each applicable campaign was carried out.

• 00V0990001999
  A supplier error in the ABS/ASR electronic control unit could disable ABS and electronic brake-force distribution, causing instability under very hard braking; remedy replaced the ECU.
• 01V0250001999
  An instrument-cluster software fault left the red brake-force-distribution warning light unable to illuminate; remedy reflashed the cluster software.
• 00V3400001999-2000
  The starter ring gear could separate from the clutch assembly and throw fragments that puncture a tire, risking loss of control; remedy replaced the ring gear and/or mounting screws.
• 04V2940002003
  The hydraulic power-steering delivery hose could leak and gradually reduce steering assist; remedy replaced the delivery hoses.

US NHTSA campaigns for this model. A listed campaign may not apply to a particular car, and may already have been remedied — check a specific car by VIN at nhtsa.gov/recalls.