The Government of Spain has recently submitted to our minister at Madrid certain proposals which it is hoped may be found to be the basis, if not the actual submission, of terms to meet the requirements of the particular griefs of which this Government has felt itself entitled to complain. These proposals have not yet reached me in their full text. On their arrival they will be taken into careful examination, and may, I hope, lead to a satisfactory adjustment of the questions to which they refer and remove the possibility of future occurrences such as have given rise to our just complaints. It is understood also that renewed efforts are being made to introduce reforms in the internal administration of the island. Persuaded, however, that a proper regard for the interests of the United States and of its citizens entitles it to relief from the strain to which it has been subjected by the difficulties of the questions and the wrongs and losses which arise from the contest in Cuba, and that the interests of humanity itself demand the cessation of the strife before the whole island shall be laid waste and larger sacrifices of life be made, I shall feel it my duty, should my hopes of a satisfactory adjustment and of the early restoration of peace and the removal of future causes of complaint be, unhappily, disappointed, to make a further communication to Congress at some period not far remote, and during the present session, recommending what may then seem to me to be necessary. The free zone, so called, several years since established by the Mexican Government in certain of the States of that Republic adjacent to our frontier, remains in full operation. It has always been materially injurious to honest traffic, for it operates as an incentive to traders in Mexico to supply without customs charges the wants of inhabitants on this side of the line, and prevents the same wants from being supplied by merchants of the United States, thereby to a considerable extent defrauding our revenue and checking honest commercial enterprise. Depredations by armed bands from Mexico on the people of Texas near the frontier continue. Though the main object of these incursions is robbery, they frequently result in the murder of unarmed and peaceably disposed persons, and in some instances even the United States post-offices and mail communications have been attacked. Renewed remonstrances upon this subject have been addressed to the Mexican Government, but without much apparent effect. The military force of this Government disposable for service in that quarter is quite inadequate to effectually guard the line, even at those points where the incursions are usually made. An experiment of an armed vessel on the Rio Grande for that purpose is on trial, and it is hoped that, if not thwarted by the shallowness of the river and other natural obstacles, it may materially contribute to the protection of the herdsmen of Texas.