Several experimental measurements of $B$ meson decays, in tension
with Standard Model predictions, exhibit large sources of Lepton
Flavour Universality violation.
We perform an analysis of the effects of the global fits to the Wilson
coefficients assuming a model independent effective Hamiltonian
approach, by including a proposal of different scenarios to include
the New Physics contributions. Both the current fits at the LHC and
the ILC projections are considered. We found that for a simultaneous analysis of
predictions for the $R_{D^{(*)}}$ and $R_{K^{(*)}}$ observables, the scenarios with
three non-universal Wilson coefficients are favoured.