* U.S. trade wars threaten growth -analysts
* Saudi Arabia promises to manage global oil supplies
* May saw biggest price drop since Nov: https://tmsnrt.rs/2DxgF8W
* Surging U.S. oil supply also weighs: https://tmsnrt.rs/2DwTUBQ (New throughout, updates prices, comments; previous LONDON)
NEW YORK, June 3 (Reuters) - Oil prices steadied on Monday, supported by Saudi Arabia's comments indicating OPEC and its allies would continue to tighten the crude market following deep losses last week.
Concerns that U.S. tariffs on Mexico would dent crude demand limited gains.
Saudi Arabia signaled that the Organization of the Petroleum Exporting Countries, together with Russia, would continue managing global crude supplies to avoid a surplus.
"We will do what is needed to sustain market stability beyond June. To me, that means drawing down inventories from their currently elevated levels," Energy Minister Khalid al-Falih was quoted as saying by the Saudi-owned Arab News newspaper.
Front-month Brent crude futures gained 1 cent to $62.00 a barrel by 10:38 a.m. GMT (1438 GMT). Prices dropped by more than 3% on Friday, with May recording the biggest monthly loss in six months.
U.S. West Texas Intermediate (WTI) crude futures rose 32 cents to $53.82 a barrel.
"There's no doubt that Saudi Arabia has shown a lot of frustration with the price of oil," said Phil Flynn, an analyst at Price Futures Group in Chicago. "They're scratching their heads, saying, 'Hey, we think the market has it wrong and to prove that's the case, we're going to keep cutting production until the market gets it right."'
Brent crude prices have dropped almost 20% from their 2018 peak as global supplies tighten following output curbs by OPEC and Russia, as well as a reduction in Iranian and Venezuelan exports due to U.S. sanctions.
Saudi Arabia pumped 9.65 million barrels of oil per day (bpd) in May, a deeper cut than its production target under the global pact to reduce oil supply, a Saudi oil industry source said on Monday. The nation's output target under the OPEC-led pact is 10.3 million bpd.
A planned June 4 strike by Norwegian workers could also lead to tighter global supply and buttress prices, potentially cutting Norway's oil and gas output by about 440,000 barrels of oil equivalents per day if mediation efforts fail.
Concerns that a U.S.-China trade war, and threats of tariffs on Mexico from the United States, would diminish global crude demand, however, weighed on oil prices.
"Focus has shifted from the supply to the demand side as a U.S.-China trade agreement has proven elusive and as worries over the debilitating effects of tariffs on global economic growth have now shifted to Mexico," Jim Ritterbusch of Ritterbusch and Associates said in a note.
High-level talks were set to begin on Monday between Mexican and U.S. officials.
(Additional reporting by Ron Busso and Noah Browning in London, Henning Gloystein in Singapore, Shadia Nasralla in London; Editing by Kirsten Donovan, Alexander Smith and Will Dunham)