We emphasize that the recent measurements of the B⁰_s−⁰_s mass difference ΔM_s by the CDF and DØ collaborations offer an important model independent test of minimal flavour violation (MFV). The improved measurements of the angle γ in the unitarity triangle and of |V_ub| from tree level decays, combined with future accurate measurements of ΔM_s, S_ψKS, S_ψ, Br(B_d,s→μ⁺μ⁻), Br(B→X_d,sν), Br(K⁺→π⁺ν) and Br(K_L→π⁰ν) and improved values of the relevant non-perturbative parameters, will allow to test the MFV hypothesis in a model independent manner to a high accuracy. In particular, the difference between the reference unitarity triangle obtained from tree level processes and the universal unitarity triangle (UUT) in MFV models would signal either new flavour violating interactions and/or new local operators that are suppressed in MFV models with low tan β, with the former best tested through S_ψ and K_L→π⁰ν. A brief discussion of non-MFV scenarios is also given. In this context we identify in the recent literature a relative sign error between Standard Model and new physics contributions to S_ψ, that has an impact on the correlation between S_ψ and A^s_SL. We point out that the ratios S_ψ/A^s_SL and ΔM_s/ΔΓ_s will allow to determine ΔM_s/(ΔM_s)^SM. Similar proposals for the determination of ΔM_d/(ΔM_d)^SM are also given.