* MSCI world share index hits six month high
* Europe climbs, led by FTSE
* Oil hits highest since Nov, Brent nears $70 a barrel (Updates with open of U.S. markets, changes byline, dateline; previous LONDON)
By Chuck Mikolajczak
NEW YORK, April 2 (Reuters) - World stock markets were little changed on Tuesday after grazing a six-month high as investors took a breather following a three-day run of gains.
Oil prices, meanwhile, continued to ascend amid the prospect of tightening supply due to further possible sanctions against Iran and other disruptions.
MSCI's key gauge of global equities had rallied 1.1 percent on Monday, its best performance in three weeks, as manufacturing data in China and the United States put recession worries at bay. On Tuesday, the index slipped modestly and was down 0.13%.
Major U.S. indexes were little changed, although the blue-chip Dow Jones Industrial Average was dragged down by a slump of 12.18% in Walgreens Boots Alliance after the drugstore chain cut its 2019 profit growth forecast.
"We had a pretty good rally yesterday and I think part of it was overdone," said Scott Brown, chief economist at Raymond James in St. Petersburg, Florida.
"We're still in this mixed economic data range where you're really not going to see it driving (markets) one way or the other."
New orders for key U.S.-made capital goods slipped in February and shipments were unchanged, but data for January was revised slightly higher, which could support views that the manufacturing sector was stabilizing in the wake of the data on Monday.
The Dow Jones Industrial Average fell 110.27 points, or 0.42%, to 26,148.15, the S&P 500 lost 5.66 points, or 0.20%, to 2,861.53 and the Nasdaq Composite dropped 4.81 points, or 0.06%, to 7,824.10.
After a sluggish start, European shares were able to build some momentum heading into the close of trading, with the STOXX 600 hitting its highest intraday level since late September.
Europe was led by a jump of more than 1 percent in London's FTSE 100 index as sterling weakened. That came as the European Union said Britain could be heading for a potentially disorderly exit in 10 days as Prime Minister Theresa May met with ministers to work out ways to break the Brexit deadlock.
The pan-European STOXX 600 index rose 0.29%.
The dollar index rose 0.23%, with the euro down 0.19% to $1.1191. Sterling was last trading at $1.3037, down 0.47% on the day.
The Brexit concerns also pushed yields on U.S. Treasuries lower from one-week highs as investors looking for bargains and a safe-haven bid stepped in.
Benchmark 10-year notes last rose 7/32 in price to yield 2.4741%, from 2.497% late on Monday.
Oil prices continued to rally, with crude prices hitting their highest levels of the year and Brent moving closer to $70 a barrel for the first time since late October. The gains came on the prospect that more sanctions against Iran and further Venezuelan disruptions could deepen an OPEC-led supply cut.
U.S. crude rose 0.68% to $62.01 per barrel and Brent was last at $69.11, up 0.14% on the day.
Additional reporting by Sruthi Shankar in Bengaluru; Editing by Bernadette Baum