The minisuperspace model of a Bianchi type I universe with compact spatial sections is investigated. The classical solutions are brought into a form where the difference between compact and infinite spatial sections is manifest. One of the features of the compact case is that it has a non-trivial moduli space. The solution space of the compact Bianchi type I universe is 10-dimensional, whereas the Kasner solutions only have a one-dimensional solution space. We also include the classical solutions with a dust and a cosmological constant. Solutions to the Wheeler-DeWitt equation are obtained in the light of the tunnelling boundary proposal by Vilenkin. Backreaction effects from a simple scalar field are also investigated.