Article 7 stated - " The confederated Republics declare that they have a perfect right to the conservation of their territories as they existed at the time of independence from Spain, those of the respective Viceroyalties, captaincies-general or presidencies into which Spanish America was divided."
This is known as the Uti Possidetis Juris principle and Article 7 was signed by Ministers from Colombia, Chile, Bolivia, Ecuador, and Peru.
The doctrine of Uti Possidetis Juris is therefore a useful tool to resolve sovereignty/border issues between the signatories.
Argentina did not sign.
Britain did not sign.
Uti Possidetis Juris does not apply therefore to the Falkland Islands !!