The Argentine Rugby Union said that the French-based 36-year-old would not be part of the squad after "coach Santiago Phelan released the hooker of 71 caps for personal reasons".
Ledesma will almost certainly be replaced Alberto Vernet Basualdo in the starting line-up for the Pumas, who lost 16-9 to England a week ago and 33-16 to Wales on Saturday.
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