* U.S. stocks rise on hopes U.S.-China trade tensions ease
* Pound higher on reports of finalized Brexit agreement text
* Euro rises off lowest levels since mid-2017
* U.S. dollar lower but remains near 16-month high (New throughout, updates prices, market activity and comments to open of U.S. markets)
By April Joyner
NEW YORK, Nov 13 (Reuters) - Wall Street stock prices rose on Tuesday as investors hoped U.S.-China trade tensions could ease, while the pound soared on rising prospects for a finalized agreement on the United Kingdom's exit from the European Union.
Oil prices fell more than 3 percent, but U.S. natural gas futures soared to their highest since November 2014 on forecasts for colder weather.
The U.S. benchmark S&P 500 stock index rose on reports that U.S. Treasury Secretary Steven Mnuchin had resumed discussions with China Vice Premier Liu He. Technology stocks bounced back a day after a rout that led the S&P 500's nearly 2 percent decline.
U.S. equities rose further after White House Economic Advisor Larry Kudlow said Washington had resumed trade talks with China and characterized the development as "very positive."
"It's potentially good news on the trade war front," said Edmund Tran, equity strategist at UBS Global Wealth Management in New York. "Any incremental news point is going to drive market volatility, whether up or down."
The U.S. dollar index, which has steadily climbed as the U.S.-China trade dispute has escalated, dipped 0.4 percent.
Conversely, the pound rose 1.4 percent to $1.3033 after reports that the United Kingdom and the European Union had agreed upon the text of a Brexit agreement and that British Prime Minister Theresa May would hold a cabinet meeting on Wednesday.
The euro also rose from a 16-month low, last up 0.6 to $1.1282, though its gains were capped by concerns over Italy's budget. The Italian government faces a Tuesday deadline to submit a revised budget to the EU.
The Dow Jones Industrial Average rose 32.82 points, or 0.13 percent, to 25,420, the S&P 500 gained 14.02 points, or 0.51 percent, to 2,740.24 and the Nasdaq Composite added 62.16 points, or 0.86 percent, to 7,263.03.
The pan-European STOXX 600 added 0.67 percent to 364.44. MSCI's gauge of stocks across the globe gained 0.36 percent.
Benchmark 10-year U.S. Treasury notes last rose 8/32 in price to yield 3.1599 percent, from 3.189 percent late on Friday. The Treasury market was closed on Monday for the Veterans Day holiday.
Oil prices extended their fall from Monday after U.S. President Donald Trump put pressure on OPEC not to cut supply to prop up prices.
U.S. crude fell 4.27 percent to $57.37 per barrel and Global benchmark Brent crude was down $2.70 a barrel at $67.42.
Both crude benchmarks have fallen more than 20 percent since peaking at four-year highs in early October.
But front-month gas futures on the New York Mercantile Exchange jumped 6.1 percent, and the session high was its highest since Nov. 28, 2014. (Reporting by April Joyner; Additional reporting by Tom Finn and Marc Jones in London; Editing by Larry King, Jan Harvey and David Gregorio)