The Sudarium and the Shroud of Turin took different routes, as confirmed by forensic palynology; it was taken from Palestine in 614, was carried through northern Africa in 616, and arrived in Spain shortly thereafter.
The stains on the Sudarium match those on the head portion of the Shroud, lending strong credence to the theory that they both covered the same man, and the type of fluid in the stains is consistent with crucifixion.
External link:
http://www.shroud.com/guscin.htm