29 AUGUST 1846, Page 10

The mail-steamer Hibernia arrived at Liverpool yesterday, with accounts from

New York to the 15th instant. On the 27th July the President had transmitted to the Mexican Government an offer to commence negotiations for the settlement of all existing differences between the two countries. This communi- cation was sent for delivery to Commodore Connor, who was instructed "promptly but kindly" to reject any proposal which the Mexican authorities, in the event of their accepting the President's friendly overtures might make for an armistice pending the negotiations. In connexion with this movement, the President had sent a communication to Congress, soliciting an appropriation of 2,000,000 dollars, to enable the Government to conduct the negotiations, and to indemnify Mexico for any concessions she may make in the matter of the boundary line. Congress had expressed its approval of the course adopted by the President; but the pro- gress of the money grant was obstructed in a singular way. A resolution ap- proving of the grant passed the House of Representatives, and went up to the Senate; where its discussion was entered upon on the 10th, the day fixed for ad- journment. Without doubt, the grant would have been sanctioned, but Mr. Davis of Massachusetts took the floor, and continued to speak against time until twelve o'clock; when the Speaker declared the House to be adjourned till the first Mon- day in December

The army on the banks of the Rio Grande was slowly advancing into the in- terior. Camargo was the farthest point reached up to the close of July. Accounts from Vera Cruz to the 17th Jury, state that Paredes had not left the city of Mexico, and could not raise a body of 5,000 men to follow him.

The New Orleans Picayune publishes a letter from Santa Anna to General Tomei The Ex-President's position is no longer equivocal He is for supporting the Government of Paredes, if Paredes will seek his aid; and especially he is for sustaining the war with the United States to the utmost.

" The private as well as the general advices from the United States," says the Standard, "are considered satisfactory: on all hands it is hoped that the war between Mexico and the States may be speedily settled."