  For the solution of 2D exterior Dirichlet Poisson problems we propose the
coupling of a Curved Virtual Element Method (CVEM) with a Boundary Element
Method (BEM), by using decoupled approximation orders. We provide optimal
convergence error estimates, in the energy and in the weaker
$\textit{L}^\text{2}$-norm, in which the CVEM and BEM contributions to the
error are separated. This allows taking advantage of the high order flexibility
of the CVEM to retrieve an accurate discrete solution by using a low order BEM.
The numerical results confirm the a priori estimates and show the effectiveness
of the proposed approach.
