The commission created by the States which formerly composed the Republic of Colombia for adjusting the claims against that Government has by a very unexpected construction of the treaty under which it acts decided that no provision was made for those claims of citizens of the United States which arose from captures by Colombian privateers and were adjudged against the claimants in the judicial tribunals. This decision will compel the United States to apply to the several Governments formerly united for redress. With all these--New Granada, Venezuela, and Ecuador--a perfectly good understanding exists. Our treaty with Venezuela is faithfully carried into execution, and that country, in the enjoyment of tranquillity, is gradually advancing in prosperity under the guidance of its present distinguished President, General Paez. With Ecuador a liberal commercial convention has lately been concluded, which will be transmitted to the Senate at an early day. With the great American Empire of Brazil our relations continue unchanged, as does our friendly intercourse with the other Governments of South America--the Argentine Republic and the Republics of Uruguay, Chili, Peru, and Bolivia. The dissolution of the Peru-Bolivian Confederation may occasion some temporary inconvenience to our citizens in that quarter, but the obligations on the new Governments which have arisen out of that Confederation to observe its treaty stipulations will no doubt be soon understood, and it is presumed that no indisposition will exist to fulfill those which it contracted with the United States. The financial operations of the Government during the present year have, I am happy to say, been very successful. The difficulties under which the Treasury Department has labored, from known defects in the existing laws relative to the safe-keeping of the public moneys, aggravated by the suspension of specie payments by several of the banks holding public deposits or indebted to public officers for notes received in payment of public dues, have been surmounted to a very gratifying extent. The large current expenditures have been punctually met, and the faith of the Government in all its pecuniary concerns has been scrupulously maintained.