Awards can only be attacled by the proceures specified by the ICSID Convention. To begin with, they can only be internmally reviewed. They cannot be reviewed by an extermal body such as by a court in Vz. The review process itself is very limited to what is known as an annulment under Article 52. This article allows an annulment of an award for one of five specified reasons, all of which have been traditionally narrowly construed:

(a) that the Tribunal was not properly constituted;
(b) that the Tribunal has manifestly exceeded its powers;
(c) that there was corruption on the part of a member of
the Tribunal;
(d) that there has been a serious departure from a fundamental
rule of procedure; or
(e) that the award has failed to state the reasons on which it
is based.

There are no appeals for alleged substantive errors of law or fact.

The following article discusses the state of an appeal under the ICSID:

www.telc.uni-halle.de/Heft57.pdf