Did Cleopatra ever live it Italy?

Cleopatra lived briefly in Rome.
Let's just say that Cleopatra visited Rome, actually with her brother/husband. There is no historical record of her ever having a child with her when she visited Rome. Not one ancient writer mentions it and certainly someone with the possible impact of a child of Caesar's would merit a mention by at least one. This is one of the many controversies regarding Caesarion.