He has now returned to Rangers on trial with a view to signing a contract if he impresses manager Neil Warnock.
Since leaving QPR, the 22-year-old has played for Italian clubs Salernitana, Novaro and, more recently, Crotone.
QPR agreed a fee of around £2.2m with Genoa for Ledesma's permanent signing when he moved to west London on loan.
He produced a number of eye-catching early performances, particularly when scoring a hat-trick against Carlisle in the Carling Cup, but then struggled to make an impact.
Source: BBC Sport
Source: BBC Sport