On the 23d of April last the commissioners on the part of the United States under the convention with the Mexican Republic of the 11th of April, 1839, made to the proper Department a final report in relation to the proceedings of the commission.  From this it appears that the total amount awarded to the claimants by the commissioners and the umpire appointed under that convention was $2,026,079.68.  The arbiter having considered that his functions were required by the convention to terminate at the same time with those of the commissioners, returned to the board, undecided for want of time, claims which had been allowed by the American commissioners to the amount of $928,620.88.  Other claims, in which the amount sought to be recovered was $3,336,837.05, were submitted to the board too late for its consideration.  The minister of the United States at Mexico has been duly authorized to make demand for payment of the awards according to the terms of the convention and the provisions of the act of Congress of the 12th of June, 1840.  He has also been instructed to communicate to that Government the expectations of the Government of the United States in relation to those claims which were not disposed of according to the provisions of the convention, and all others of citizens of the United States against the Mexican Government.  He has also been furnished with other instructions, to be followed by him in case the Government of Mexico should not find itself in a condition to make present payment of the amount of the awards in specie or its equivalent.

I am happy to be able to say that information which is esteemed favorable both to a just satisfaction of the awards and a reasonable provision for other claims has been recently received from Mr. Thompson, the minister of the United States, who has promptly and efficiently executed the instructions of his Government in regard to this important subject.

The citizens of the United States who accompanied the late Texan expedition to Santa Fe, and who were wrongfully taken and held as prisoners of war in Mexico, have all been liberated.

A correspondence has taken place between the Department of State and the Mexican minister of foreign affairs upon the complaint of Mexico that citizens of the United States were permitted to give aid to the inhabitants of Texas in the war existing between her and that Republic.  Copies of this correspondence are herewith communicated to Congress, together with copies of letters on the same subject addressed to the diplomatic corps at Mexico by the American minister and the Mexican secretary of state.

Mexico has thought proper to reciprocate the mission of the United States to that Government by accrediting to this a minister of the same rank as that of the representative of the United States in Mexico.  From the circumstances connected with his mission favorable results are anticipated from it.  It is so obviously for the interest of both countries as neighbors and friends that all just causes of mutual dissatisfaction should be removed that it is to be hoped neither will omit or delay the employment of any practicable and honorable means to accomplish that end.