1. Initial Diagnosis: Begin by connecting a diagnostic scanner to the BMW 220i Convertible’s OBD-II port to retrieve trouble codes stored in the ECU, pinpointing issues related to the “Engine Power Reduced” warning.

2. Visual Inspection: Conduct a thorough visual examination under the hood, checking for evident damage, leaks, or disconnected components such as hoses, focusing on vital areas like the turbocharger and air intake system.

3. Check Engine Fluids: Verify the levels and quality of engine fluids like oil and coolant, replenishing any deficits and addressing contamination to ensure proper engine function.

4. Inspect Air Intake System: Examine the air filter and MAF sensor for blockages or dirt accumulation, ensuring unrestricted airflow into the engine, while also checking the throttle body for cleanliness and proper operation.

5. Evaluate Turbocharger System: Assess the turbocharger for wear or damage, and test the wastegate actuator and boost pressure control system to ensure optimal turbo performance.

6. Examine Exhaust System: Inspect the exhaust system for leaks or damage, including catalytic converters, and monitor oxygen sensor readings to ensure efficient exhaust gas treatment.

7. Check Fuel System: Test fuel pressure and inspect injectors for clogs or leaks, addressing any issues that may hinder proper fuel delivery to the engine.

8. Scan ECU for Software Updates: Utilize the diagnostic scanner to check for available ECU software updates, applying any relevant updates to address known issues affecting engine performance.

9. Perform System Resets: Reset the ECU to clear stored trouble codes and adaptive learning parameters, conducting throttle body adaptation and idle speed relearning to ensure proper engine management.

10. Test Drive and Monitor: Take the BMW 220i Convertible for a test drive to validate repairs, monitoring engine parameters for abnormalities, and observing for the recurrence of warning lights or issues.