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UPDATE 5-Oil prices fall 2 percent on signs market still oversupplied

* U.S. crude production rose 1 percent last week - EIA

* Russia says ready to consider revising output deal parameters

* Russian comment good basis for talks on deeper cuts-OPEC sources

* Morgan Stanley sees WTI crude below $50 to mid-2018 (Adds OPEC reaction to Russian comment, adds analyst comment, updates prices)

LONDON, July 7 (Reuters) - Oil prices fell more than 2 percent on Friday after data showed U.S. production rose last week just as OPEC exports hit a 2017 high, casting doubt over efforts by producers to curb oversupply.

Global benchmark Brent futures were down $1.01, or 2 percent, at $47.10 a barrel at 1341 GMT, after falling to as low as $46.63, the weakest level in more than a week.

U.S. West Texas Intermediate (WTI) crude futures traded at $44.53 a barrel, down 99 cents or 2.2 percent. Their session low of $44.05 was also the lowest in over a week.

"Bearish news from the supply side has dragged prices down. The spotlight seems to be on the problem of oversupply once again," said Frank Schallenberger, head of commodity research at LBBW in Stuttgart.

Weekly U.S. government data showed on Thursday that U.S. oil production <C-OUT-T-EIA> rose 1 percent to 9.34 million barrels per day (bpd), correcting a drop in the previous week that was down to one-off maintenance work and hurricane shutdowns.

The rise in U.S. output coincides with exports from the Organization of the Petroleum Exporting Countries climbing for a second consecutive month in June to the highest level this year.

Russia, which is cooperating with OPEC in a deal to stem production, said on Friday it was ready to consider revising the parameters of the deal if needs be.

A group of oil producing countries monitoring the output deal will meet on July 24 in Russia at which point they could recommend adjusting the pact.

OPEC sources welcomed Russia's comments on Friday, saying they provided a good basis for discussions on deepening production cuts.

The market largely ignored news from the U.S. Energy Information Administration (EIA) that U.S. crude inventories fell by 6.3 million barrels in the week to June 30 to 502.9 million barrels, the lowest since January.

The push-and-pull between bearish and bullish factors will keep volatility high, said Hans van Cleef, senior energy economist at ABN Amro.

"In the near term this leaves us with a volatile trading range of roughly $45-50 a barrel."

If OPEC was unable to balance the market change would likely be forced on it by oil prices, said Morgan Stanley.

The U.S. bank said a WTI price of $46 to $50 per barrel would likely prevent U.S. production rising in the mid- to long-term, but prices need to be "in the low $40s" for U.S. output to fall significantly.

Morgan Stanley said it expected WTI to remain below $50 until mid-2018. (Additional reporting by Henning Gloystein in Singapore and Aaron Sheldrick in Tokyo; Editing by Edmund Blair, Greg Mahlich)