UNITED NATIONS, Sept 23 (Reuters) - Russia and the United States could agree a new "START" treaty on reducing their nuclear arsenals by December, Russian President Dmitry Medvedev said on Wednesday after talks with U.S. President Barack Obama.

"The work is under way," Medvedev told reporters. "A good start allowed us to hope that our teams will cope and in due time (December) we will have a document." (Reporting by Oleg Shchedrov, writing by Louis Charbonneau)

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