* Global oil inventories are falling -OPEC
* 1.5 mln bpd of U.S. Gulf output offline after storm Nate (Adds comment in paragraph 8, updates prices)
SINGAPORE, Oct 10 (Reuters) - Oil prices were steady on Tuesday as OPEC said there were clear signs the market was rebalancing and as U.S. production remained offline following Hurricane Nate.
U.S. West Texas Intermediate (WTI) crude futures were trading at $49.65 per barrel at 0327 GMT, up 7 cents, or 0.14 percent, from their last close.
Brent crude futures, the international benchmark for oil prices, were up 6 cents, or 0.1 percent, at $55.85 a barrel.
Traders said that oil prices were supported as the Organization of the Petroleum Exporting Countries (OPEC) said oil markets were rebalancing fast after years of oversupply.
"There is clear evidence that the market is rebalancing," OPEC's secretary general Mohammad Barkindo told Reuters on Monday.
"The process of global destocking continues, both onshore and offshore, with positive developments in recent months showing not only a quickening of the process but a massive drainage of oil tanks across all regions," he added.
OPEC has led an effort to cut output this year to end years of overproduction that created a huge supply overhang.
"Both Brent and WTI took some solace by comments from the OPEC Secretary-General that they (OPEC and other producers like Russia) were working to create an extension to the production cut deal ahead of the November OPEC meeting," said Jeffrey Halley, senior market analyst at futures brokerage OANDA in Singapore.
The reductions were implemented in January and are set to expire at the end of March 2018.
There have been discussions about extending curbs to cover all of next year, though no formal agreement has been reached.
U.S. bank JP Morgan said in a note to clients that previous "concerns that OPEC compliance would fade into the fourth quarter now appear unfounded" and that "stronger than assumed economic growth offers the potential for tight market conditions to continue if OPEC extends the current deal for another nine months".
The bank also said political disputes between the United States and Iran could drive oil prices higher.
Short-term price support was also coming from the United States, where some 85 percent of U.S. Gulf of Mexico oil production, or 1.49 million barrels a day, is offline in the aftermath of Hurricane Nate, the U.S. Department of the Interior's Bureau of Safety and Environmental Enforcement (BSEE) said late on Monday.
Oil companies evacuated staff from Gulf platforms and curtailed output ahead of the storm, which hit the region last weekend. (Reporting by Henning Gloystein; Editing by Sonali Paul and Joseph Radford)