Nasserdine Menni, 39, sat shaking his head in the dock as appeal judges announced their decision and was led back to a cell complaining that there was no justice in Scotland.
Menni has further grounds of appeal against his conviction still to be heard.
He also has a challenge against the sentence imposed on him following his trial.
The illegal immigrant was acquitted of a charge of conspiring with the Stockholm bomber Taimour Abdulwahab to further terrorism on a not proven verdict. However, he was founb guilty of transferring £6725 to bank accounts knowing or with reasonable cause to suspect that the money would or may be used for terrorist purposes.
The trial judge, Lord Matthews, told jurors at Menni's trial at the High Court in Glasgow that it would have been "just open" to them to convict of the offence even if they acquitted on the main charge.