On the Argentine side, the mountain is part of Los Glaciares National Park in Santa Cruz Province.

[3] After the signing of the 1881 Treaty between Argentina and Chile, the border in the area was defined in 1899 by demarcation experts, Francisco Pascasio Moreno from Argentina and Diego Barros Arana from Chile.

The experts had no disagreements between Mount Fitz Roy and Cerro Stokes, unlike other territories that were submitted to arbitration in the 1902 award.

The boundary was defined over the following mountain markers and their natural continuity: Fitz Roy, Torre, Huemul, Campana, Agassiz, Heim, Mayo, and Stokes.

[5][6][7][1] In 1998, the "Agreement between the Republic of Chile and the Republic of Argentina to define the boundary between Monte Fitz-Roy and Cerro Daudet" was signed, establishing Section A and part of Section B, leaving the area between Fitz Roy and Murallón pending.