In the last three decades, Free Independence was often seen as an asymptotic relation between large random matrices with (classical) independent entries. Not long ago, a joint project with J. Mingo gave the first example of asymptotic Free Independence in the absence of independence of entries. More precisely, we showed that unitarily invariant random matrices are asymptotically free from their transposes. The lecture will present, together with a brief introduction in free independence, a brief history of this result and some of its developments.