What was found
AFTER TAKEOFF WITH TAKEOFF THRUST, AFTER CLIMBING THROUGH FRA AND RETRACTING THE FLAPS TO ZERO AT APPROXIMATELY 500 FEET AGL, WE RECEIVED A RED "ENGINE VIBRATION L," CAST MESSAGE ILLUMINATED ON OUR PFD'S. LEVELING OFF AT 5000 FEET MSL, THE CAST MESSAGE EXTINGUISHED WITH POWER REDUCTION. IT REMAINED EXTINGUISHED FOR THE REMAINDER OF THE RETURN FLIGHT TO THE AIRPORT. NO VIBRATION WAS FELT FROM TAKEOFF, THROUGH THE RETURN AND LANDING PORTIONS OF THE FLIGHT. REMOVED FUEL PRESSURE SWITCH & INSTALLED NEW. LEAK AND OPS CHECK OK. NO CAS MESSAGES NOTED, IAW AMM 28-45-00 AND 28-45-01.