The former Athletic Bilbao captain has signed a 12 month deal with San Lorenzo with the option of another year.
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Ahead of his presentation, Muniain spoke to reporters about his choice.
He said, "I follow the Argentine championship a lot and I had already seen several San Lorenzo matches, I know their fans and when this opportunity presented itself I was very happy. It was what I was looking for.
"The love for Argentine football comes from the passion for football. Since I was a child I have loved football and I feel that here, in Argentina, the passion for football is much greater than elsewhere. Putting all these factors together makes me happy: playing football and living it so intensely will be fantastic."