Fresh instructions have recently been given to the minister of the United States in Mexico, who is prosecuting the subject with promptitude and ability. Although the negotiations with Portugal for the payment of claims of citizens of the United States against that Government have not yet resulted in a formal treaty, yet a proposition, made by the Government of Portugal for the final adjustment and payment of those claims, has recently been accepted on the part of the United States. It gives me pleasure to say that Mr. Clay, to whom the negotiation on the part of the United States had been intrusted, discharged the duties of his appointment with ability and discretion, acting always within the instructions of his Government. It is expected that a regular convention will be immediately negotiated for carrying the agreement between the two Governments into effect. The commissioner appointed under the act of Congress for carrying into effect the convention with Brazil of the 27th of January, 1849, has entered upon the performance of the duties imposed upon him by that act. It is hoped that those duties may be completed within the time which it prescribes. The documents, however, which the Imperial Government, by the third article of the convention, stipulates to furnish to the Government of the United States have not yet been received. As it is presumed that those documents will be essential for the correct disposition of the claims, it may become necessary for Congress to extend the period limited for the duration of the commission. The sum stipulated by the fourth article of the convention to be paid to this Government has been received. The collection in the ports of the United States of discriminating duties upon the vessels of Chili and their cargoes has been suspended, pursuant to the provisions of the act of Congress of the 24th of May, 1828. It is to be hoped that this measure will impart a fresh impulse to the commerce between the two countries, which of late, and especially since our acquisition of California, has, to the mutual advantage of the parties, been much augmented. Peruvian guano has become so desirable an article to the agricultural interest of the United States that it is the duty of the Government to employ all the means properly in its power for the purpose of causing that article to be imported into the country at a reasonable price. Nothing will be omitted on my part toward accomplishing this desirable end. I am persuaded that in removing any restraints on this traffic the Peruvian Government will promote its own best interests, while it will afford a proof of a friendly disposition toward this country, which will be duly appreciated. The treaty between the United States and His Majesty the King of the Hawaiian Islands, which has recently been made public, will, it is believed, have a beneficial effect upon the relations between the two countries.