A high-density diquark phase seems to be a generic feature of QCD. If so it
should also be reproduced by random matrix models. We discuss a specific o
ne in which the random matrix elements of the Dirac operator are supplement
ed by a finite chemical potential and by non-random elements which model th
e formation of instanton-anti-instanton molecules. Comparing our results to
those found in a previous investigation by Vanderheyden and Jackson we fin
d additional support for our starting assumption, namely that the existence
of a high-density diquark phase is common to all QCD-like model.