We provide a short account of the effects one expects on meson-antimeson oscillations in the context of the Minimal Supersymmetric Standard Model (MSSM). This issue is largely dependent on the assumptions made on the MSSM parameter space. In this respect, we consider in closer detail the cases of the general MSSM, with completely free soft terms, and the Minimal Flavor Violating limit of the MSSM, providing a natural mechanism of near-flavor-conservation. For the case of meson oscillations in the Delta B = 2 sector, we show that this approach leads to a striking increase of the predictivity of the model. In particular, we find (i) SUSY corrections to be naturally small and always positive; (ii) if mu is not small, an increase in importance (even for low tan beta) of scalar operators due to gluino contributions. The last point signals that (V-A)x(V-A) dominated MFV is in general inconsistent with the MSSM. In this context, we also briefly discuss the MFV-Unitarity Triangle.