And VI to III cent BC would be too late for Aeneas' settlement...?
Just so. Rome was probably founded about 753 BC.
And according to The Aeneid, Virgil landed at the mouth of the Tiber 333 years before the founding. Three years to the building of his son's little city, 33 years to Alba Longa, and 333 years to Rome.
Which means that this city should date back considerably earlier. Maybe there are older ruins underneath, as at Troy?