The Lazio man is widely expected to leave Rome during the transfer window, with his agent admitting as much earlier today.
However, with regards to a move over to Spain, Ledesma told Corriere dello Sport that "there has not been any contact".
"For now, there has not been contact. I would not want to continue the rumours," he said.
It has been reported that Seville might lure Ledesma from Lazio with a swap deal for Enzo Maresca, who is almost certain to leave Spain this summer.
However, Ledesma explained that he would like to stay in Italy, saying that "the conditions have to be right", meaning "a very good offer for Lazio".
With respect to the reasons behind his exit, the Argentine explained that "after three years" he wants a "new challenge", but the problem is "not economic".
"There is no conflict [with the club], I do not want any issues...Nothing is done because there is nothing concrete yet...If I go, it will have to satisfy Lazio too," he mused.
James Walker-Roberts, Goal.com