Medium Transport; Low Wing; 2 Turbojet Eng
Flight Crew Multiengine; Flight Crew Air Transport Pilot (ATP); Flight Crew Instrument
Distraction; Situational Awareness
Aircraft Equipment Problem Less Severe; Deviation / Discrepancy - Procedural Published Material / Policy
General Maintenance Action
Aircraft
We were assigned travel duty to ZZZ to pick up Aircraft X for a ferry flight to ZZZ1 and then a passenger leg to ZZZ2.  Upon review of the aircraft logbook; I saw that there was a previous write up for an in-flight engine flame out with an immediate relight.  The flight to ZZZ1 was uneventful.  We cruised at 27;000 feet and arrived early.  The following flight to ZZZ2 was uneventful until we were given a descent clearance from the center controller.  The flying pilot PIC initiated the descent and pulled the power back.  I think it was in the neighborhood of 38;000 feet when we both felt a vibration and I noticed a cyan CAS message ENGINE SHUTDOWN R.  The vibration and CAS message only lasted for a few seconds as the engine performed an auto relight.  We discussed that if this event was to happen again and the engine would not relight; we would perform the in-flight engine failure QRC.  That did not happen and the remainder of the flight was uneventful. The PIC did not bring the power to idle again until the landing. An emergency was not declared nor was a checklist run as this issue lasted but a few seconds.  I did; after the fact; read the QRH where it states that a cyan engine shutdown CAS message is related to the engine throttle shutting down the engine ie: placed in cutoff or a below idle recovery is in progress. Upon landing; the PIC called maintenance control and learned that this was the 3rd time this event has occurred since April. I'm not sure if any NRFO (Non Routine Flight Operation) flight has been conducted after the previous write-ups have been dealt with.
[Report narrative contained no additional information.]
Flight crew reported encountering un-commanded engine shutdown in cruise.