A220 pilot reported diverting to an alternate airport after experiencing pneumatic bleed failure that resulted in a no-pack operation.

Narrative

First Officer was PF ( Pilot Flying) and Captain was PM. Airplane had MEL 21-XX-XXX (Ram Air Regulating Valve 1) Left RARV and MEL 36-XX-XXX Bleed Air System 1) Engine Bleed System. Configuration for flight with MELs had L PACK OFF and R BLEED selected OFF with associated High pressure Valve and Pressure Regulating Shut Off Valve secured CLOSED. The Left engine bleed was providing bleed air via XBLEED valve to the R PACK.Flying at FL310 we received R BLEED FAIL caution message on EICAS. Synoptic page information showed R BLEED failed open with 41 PSI indication and bleed air flowing into R PACK. There were no pressurization anomalies noted at that time. While reviewing Emergency Checklist QRH for R BLEED FAIL; procedure to close XBLEED and turn off R PACK was deemed not appropriate at FL310. We descended to 10;000 ft immediately so that we could complete the Emergency Checklist at a safe altitude with no PACKs operational and with XBLEED in CLSD configuration. Once complete; Captain attempted to call Maintenance Control by contacting dispatch using SATCOM. Twice; after reaching dispatch; SATCOM call dropped and could not connect back with either dispatch or Maintenance Control. Attempted to use VHF as we were close to ZZZ1 but had no response. At this time; flight crew decided to accomplish precautionary landing and divert to ZZZ1. Notified Dispatch with message using ACARS.Normal landing with no other issues. [Priority handling was not requested] and briefed Inflight of a normal landing. Discrepancy of event was written up in logbook and information provided to Maintenance Control crew member on arrival at the gate.