Airbus pilot reported a flight control malfunction at cruise resulting in an uncommanded bank. The flight crew received another flight control EICAS message prior to descent and landed safely at the destination airport.

Narrative

We departed ZZZ [airport] at XA:38 and landed ZZZ1 [airport] XC:35While cruising at FL340 about 15 minutes from the top of decent the aircraft banked into an un commanded bank of 10-15 degrees.The autopilot was engaged and it returned the aircraft back to level flight.When the wings leveled a ECAM alert F/CTL AIL SERVO FAULT was generated. We ran the procedure and the QRH mentioned (NOTE: LAF (Load Alleviation Function) degraded if installed) no other actions were required.I called dispatch on the sat phone and had them patch in maintenance. We discussed the issue and we all felt confident the best course of action was to continue to ZZZ1 where maintenance would meet the aircraft.Just prior to the top of decent we received another ECAM alert this time it was AUTO FLIGHT/FAC1. Again we ran the procedure. With the other flight control issue we decided the safest course of action was to get the aircraft on the ground without any delay. I [requested priority handling] and requested direct to the airport; we discussed the possibility of more flight control issues and formulated a plan. Aircraft configuration was normal and landing was uneventful. CFR (Crash Fire Rescue) was on station and maintenance met us at the gate.