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.