The face cloth still exists too and the bloodstains on it match those of the Shroud of Turin.
From http://www.shroudofturin4journalists.com/terms/Sudarium-of-Oviedo.htm
The Sudarium’s existence and presence in Oviedo is well attested since the eighth century and in Spain since the seventh century. Before these dates the location of the Sudarium is less certain, but some scholars trace it to Jerusalem in the first century.
Forensic analysis of the bloodstains on the shroud and the Sudarium suggest that both cloths may have covered the same head at nearly the same time. Based on the bloodstain patterns, the Sudarium would have been placed on the man’s head while he was in a vertical position, presumably while still hanging on the cross. This cloth was then presumably removed before the shroud was applied.
A 1999 study by Mark Guscin, member of the multidisciplinary investigation team of the Spanish Center for Sindonology, investigated the relationship between the two cloths. Based on history, forensic pathology, blood chemistry (the Sudarium also is said to have type AB blood stains), and stain patterns, he concluded that the two cloths covered the same head at two distinct, but close moments of time. Avinoam Danin (see above) concurred with this analysis, adding that the pollen grains in the Sudarium match those of the shroud.
Is this ‘face cloth’ also referred to as “Veronica’s Veil?”