* Asian stock markets: https://tmsnrt.rs/2zpUAr4
* Strong U.S. payrolls temper Fed rate cut expectations
* Deutsche Bank shares rise on overhaul move
* Turkish lira near 2-week lows on c.bank independence worries
* Greek bond yields hit new lows after election
LONDON, July 8 (Reuters) - Global shares were in a muted mood on Monday after strong U.S. job gains tempered expectations the Federal Reserve will deliver a large rate cut, but Deutsche Bank gained nearly 4% as it launched a major restructuring.
Sentiment was also dampened by U.S. investment bank Morgan Stanley's decision to reduce its exposure to global equities due to misgivings about the ability of policy easing to offset weaker economic data.
In Turkey, the lira, stocks and government dollar bonds weakened after President Tayyip Erdogan dismissed the central bank governor, a move that fuelled worries about monetary policy independence.
Deutsche Bank shares touched their highest since early May as investors welcomed the bank's move to cut 18,000 jobs around the world as part of a restructuring plan that will cost 7.4 billion euros.
Shares in other European investment banks UBS, Credit Suisse and Societe Generale were up more than 1%, while Barclays is up 0.3% and HSBC is down around 1%.
Deutsche Bank's news helped limit the downbeat sentiment in broader Europe, with the pan-European STOXX 600 index adding 0.07%.
Among top movers on the STOXX 600 were TGS Nopec, up 7.1% on a well-received earnings update.
In Asia there was a wide sell-off in stocks, with MSCI's broadest index of Asia-Pacific shares outside Japan losing 1.4% and China's blue-chip CSI300 index down 2.32%, its biggest daily loss since May 17.
"We are lowering our exposure to global equities to the range we consider 'underweight'," Morgan Stanley's London-based strategist Andrew Sheets said in a note. The previous range was 'neutral'.
Expensive valuations and pressure on earnings were among the reasons for the downgrade, Sheets said, while the bank increased its exposure to emerging markets sovereign credit and safe haven Japanese government bonds.
Since the start of the year, global equities have generally been bolstered by expectations that central banks will keep interest rates at or near record lows to boost economic growth.
Those expectations were tempered by a U.S. labour report on Friday that showed nonfarm payrolls jumped 224,000 in June, beating forecasts for 160,000, in a sign the world's largest economy still had some fire.
Given the strength shown in that data, investors now expect U.S. Federal Reserve Chairman Jerome Powell to go slow on rate cuts this year.
"The re-adjustment in expectations did push the dollar higher and had a negative effect on Asia but Europe has been supported by investors saying 'whatever the Fed does, the ECB 1/8European Central Bank 3/8 will still cut'," said Andrew Milligan, head of global strategy at Aberdeen Standard Investments.
Trading is expected to be subdued ahead of Powell's semi-annual testimony to the U.S. Congress on Wednesday, which will provide further clues on the near-term outlook for monetary policy.
The Greek stock index rallied at first before erasing gains and slipping 1.2% after Greece's opposition conservatives returned to power with a landslide victory in snap elections on Sunday.
Greek 10-year bond yields fell by 14 basis points in early trade to hit new all-time lows of 2.016%, reversing the 12 basis point yield rise on Friday.
CURRENCIES AND GEOPOLITICS
There was some positive news on the protracted China-U.S. trade war, with White House Economic adviser Larry Kudlow confirming that top representatives from the United States and China will meet in the coming week for trade talks.
"Whether the negotiators can find a solution to the difficult structural issues that remain between the two sides is another matter, and Kudlow cautioned there was 'no timeline' to reach an agreement," National Australia Bank strategist Rodrigo Catril said.
In currency markets, action was in the Turkish lira which weakened 2% against the dollar, the lowest since June 28, after Turkey's central bank governor Murat Cetinkaya, whose four-year term was due to run until 2020, was replaced by his deputy Murat Uysal.
President Erdogan sacked Cetinkaya for refusing the government's repeated demands for rate cuts, laying bare differences between them over the timing of interest rate cuts to revive the recession-hit economy.
The dollar index stood at 97.229 in early London trading, below the near three-week high of 97.443 it hit on Friday after last week's strong U.S. jobs data lowered expectations for a sharp Federal Reserve interest rate cut.
The euro, which dropped to $1.1208 on Friday, traded at $1.1225, unchanged on the day.
After hitting a six-month low to the dollar on Friday as a result of poor economic data and a rise in expectations that the Bank of England will cut interest rates, the British pound was last quoted at $1.2513, down 0.2% on the day.
Geopolitics may be in focus this week following news on Sunday that Iran will boost its uranium enrichment, in breach of a cap set by a landmark 2015 nuclear deal.
"So far U.S.-Iran tensions have not had a material impact on markets, but if tensions escalate it could be a different story," said NAB's Catril.
In commodity markets, oil prices rose with Brent crude futures up 8 cents at $64.31. U.S. West Texas Intermediate (WTI) was up 6 cents at $57.57 a barrel.
Spot gold gained 0.4% to $1,405.77 an ounce. (Additional reporting by Swati Pandey in Sydney Editing by Keith Weir)