In reply to the call of the Senate, the closing correspondence of Chevalier Hulsemann, Austrian Chargé, with the State Department, has been published. Under date of April 29, Mr. H. writes to the Secretary, stating that the time had arrived for carrying into effect the intentions of his government in regard to his official connection with that of the United States. He complains that the Secretary had not answered his communication of December 13, in regard to the public reception given to Kossuth, and that, in spite of verbal encouragements given him to expect different treatment, his movements had been derisively commented on by the public journals. He had deemed it his duty on the 21st of November, to complain of these annoyances, and on the 28th the Secretary had thereupon notified him that no further communication would be held with him except in writing. On the 7th of January, the Secretary of State had seen fit to mate a speech encouraging revolution in Hungary. This demonstration he considered so strange that he immediately inquired of the President whether it was to be considered an expression of the sentiments of the government of the United States. The Austrian government had expressed itself satisfied with the assurances given in return by the President on the 12th of April, and had instructed him no longer to continue official relations with the "principal promoter of the Kossuth episode." He closed his letter by stating that Mr. A. Belmont, Consul-general of Austria at New York, would continue in the exercise of his functions. Under date of May 3, Mr. Hunter, acting Secretary of State, acknowledged the receipt of this communication, and informed Chevalier Hulsemann that, "as Mr. Belmont is well known to the Secretary of State as a gentleman of much respectability, any communication which it may be proper for him to address to the department in his official character, will be received with entire respect."