The installments on the claims recently settled by the convention with Mexico have been punctually paid as they have fallen due, and our minister is engaged in urging the establishment of a new commission in pursuance of the convention for the settlement of unadjusted claims.

With the other American States our relations of amity and good will have remained uninterrupted.  Our minister near the Republic of New Granada has succeeded in effecting an adjustment of the claim upon that Government for the schooner By Chance, which had been pending for many years.  The claim for the brig Morris, which had its origin during the existence of the Republic of Colombia, and indemnification for which since the dissolution of that Republic has devolved upon its several members, will be urged with renewed zeal.

I have much pleasure in saying that the Government of Brazil has adjusted the claim upon that Government in the case of the schooner John S. Bryan, and that sanguine hopes are entertained that the same spirit of justice will influence its councils in arriving at an early decision upon the remaining claims, thereby removing all cause of dissension between two powers whose interests are to some extent interwoven with each other.

Our minister at Chili has succeeded in inducing a recognition by that Government of the adjustment effected by his predecessor of the first claim in the case of the Macedonian.  The first installment has been received by the claimants in the United States.

Notice of the exchange of ratifications of the treaty with Peru, which will take place at Lima, has not yet reached this country, but is shortly expected to be received, when the claims upon that Republic will doubtless be liquidated and paid.

In consequence of a misunderstanding between this Government and that of Buenos Ayres, occurring several years ago, this Government has remained unrepresented at that Court, while a minister from it has been constantly resident here.  The causes of irritation have in a great measure passed away, and it is in contemplation, in view of important interests which have grown up in that country, at some early period during the present session of Congress, with the concurrence of the Senate, to restore diplomatic relations between the two countries.

Under the provisions of an act of Congress of the last session a minister was dispatched from the United States to China in August of the present year, who, from the latest accounts we have from him, was at Suez, in Egypt, on the 25th of September last, on his route to China.

In regard to the Indian tribes residing within our jurisdictional limits, the greatest vigilance of the Government has been exerted to preserve them at peace among themselves and to inspire them with feelings of confidence in the justice of this Government and to cultivate friendship with the border inhabitants.  This has happily succeeded to a great extent, but it is a subject of regret that they suffer themselves in some instances to be imposed upon by artful and designing men, and this notwithstanding all efforts of the Government to prevent it.