The lex Aquilia was a plebiscite which codified the law on damage to person and property through a particular fault.
The plaintiff could also institute an actio furti (a personal action) in order to punish the defendant.
If the thing could not be recovered, the plaintiff could claim damages from the defendant with the aid of the condictio furtiva (a personal action).
With the aid of the actio legis Aquiliae (a personal action), the plaintiff could claim damages from the defendant.
Rei vindicatio was derived from the ius civile, therefore was only available to Roman citizens.