UPDATE 2-Russian oil output falls slightly in May to 10.83 mln bpd

* Russia's May output slightly down

* Ready to discuss output freeze if united OPEC backs

it-deputy PM

* Russia launches new fields in 2016

(Adds Deputy PM quote, background)

By Katya Golubkova

MOSCOW, June 2 (Reuters) - Russian oil output stood at 10.83

million barrels per day (bpd) in May, slightly down for a second

straight month but still close to a record high reached earlier

this year.

Russia, the world's top oil producer, had been steadily

increasing oil output despi

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