May 6 (Reuters) - U.S. physical crude differentials were steady on Tuesday, while oil futures rose 3% on signs of more demand in Europe and China.

Oil markets have been declining since last week after Saudi Arabia said it could withstand a period of lower oil prices, and the Organization of the Petroleum Exporting Countries and allies over the weekend agreed to accelerate output increases.

The U.S. Energy Information Administration on Tuesday lowered its 2025 U.S. oil production forecast to 13.41 million barrels per day from a previous estimate of 13.51 million bpd.

In Guyana, a consortium led by Exxon Mobil produced some 668,000 barrels per day of oil last week, the company's head for South America said at the Offshore Technology Conference in Houston.

Meanwhile, U.S. offshore producer Beacon Offshore Energy said it expected first oil from its Shenandoah floating production system in the U.S. Gulf in June.

U.S. crude oil inventories fell by 4.5 million barrels last week, while gasoline inventories were down 2 million barrels, sources said, citing American Petroleum Institute data. Distillate stockpiles rose by 2.2 million barrels, the sources said.

The U.S. Energy Information Administration will release weekly supply and demand data on Wednesday.

* Light Louisiana Sweet WTC-LLS for June was bid and offered between a $2.15 and $2.40 a barrel premium to U.S. crude futures CLc1.

* Mars Sour WTC-MRS traded at a midpoint of a $1.40 premium to U.S. crude futures and was seen bid and offered between a $1.30 and $1.50 a barrel over the WTI CLc1.

* WTI Midland WTC-WTM traded at a midpoint of a 70-cent premium to U.S. crude futures CLc1.

* West Texas Sour WTC-WTS was seen bid and offered between a discount of $1.25 and 55 cents to WTI Midland.

* WTI at East Houston WTC-MEH, also known as MEH, traded between a 60-cent and 80-cent a barrel premium to U.S. crude futures CLc1.

* ICE Brent July futures LCOc1 rose $1.92 to settle at $62.15 a barrel on Tuesday​.

WTI June crude CLc1 futures rose by $1.96 a barrel to settle at $59.09 a barrel.

* The Brent/WTI spread WTCLc1-LCOc1 settled at -$3.45 a barrel, versus -$3.48 the day prior. It traded at a high of -$3.43 and low of -$3.58 a barrel.

(Reporting by Liz Hampton in Denver; Editing by David Gregorio and Richard Chang)

((Stephanie.Kelly@tr.com))