* Selling in Saudi accelerates toward close
* Banks had led late June rally on MSCI, crown prince promotion
* Qatar finishes lower before diplomatic deadline
* But companies linked to natural gas production surge
* Dubai's Arabtec surges on Expo 2020 contract award
DUBAI, July 4 (Reuters) - Most major Middle Eastern stock markets fell on Tuesday as Saudi Arabian blue chips were hit by a major wave of profit-taking and Qatar fell before a diplomatic deadline set by other Gulf Arab states.
In late June, before a one-week Eid-al Fitr holiday, the Saudi market surged after index compiler MSCI said it would consider upgrading Riyadh to emerging market status and economic reformer Prince Mohammed bin Salman was promoted to the post of crown prince.
But many fund managers consider Riyadh close to fully valued, leaving it open to profit-taking. On Tuesday, the index fell 2.6 percent, its biggest drop since last October, in thin trading volume. Selling accelerated towards the close.
A purchasing managers' survey released on Tuesday showed Saudi business conditions remained tough, with growth of the non-oil private sector slowing to an eight-month low in June.
Banking stocks, which were among the top gainers in late June, were the biggest losers on Tuesday. National Commercial Bank, the largest lender, plunged 7.9 percent. Miner Ma'aden slipped 4.9 percent.
Falling stocks outnumbered gainers by more than two to one. Wafa Insurance rose 2.6 percent after the central bank said it would let the company accept new subscribers in vehicle insurance, lifting a suspension on this activity.
Qatar's stock market rose in early trade but the index closed 0.5 percent lower in moderate volume. Foreign investors, who had been net buyers of stocks for the last several days, were roughly neutral, exchange data showed.
A deadline set by the four Arab states imposing sanctions on Qatar was to expire late on Tuesday, and there was no clear sign that Doha was willing to acquiesce in enough of their demands to avoid further economic sanctions.
However, some fund managers do not think the additional sanctions would be crippling for Qatar's economy, while they believe there is value in the market after its 10 percent plunge in the past month.
Qatar National Bank, the biggest bank, sank 3.1 percent on Tuesday. But companies linked to Qatari gas production were strong as the chief executive of Qatar Petroleum outlined plans to raise output and capacity in coming years.
Gulf International Services, the most heavily traded stock, surged 4.0 percent and Qatar Gas Transport (Nakilat) soared its 10 percent daily limit.
Dubai's index fell 0.3 percent as blue chip Emaar Properties slid 1.3 percent.
GFH Financial, the most heavily traded stock, rose sharply in early trade after saying it had obtained approval from the central bank of Bahrain to buy back up to 5 percent of its issued treasury shares. But it closed 0.9 percent lower; the stock had already surged 6.3 percent on Monday.
Builder Arabtec soared 10.6 percent after saying it had won a 353 million dirham ($96 million) contract to build the United Arab Emirates pavilion at the Expo 2020 world's fair in Dubai - a vote of confidence in the company by authorities in Abu Dhabi.
* The index lost 2.6 percent to 7,300 points.
* The index fell 0.3 percent to 3,415.
* The index dropped 0.5 percent to 4,392.
* The index slipped 0.5 percent to 8,896 points.
* The index dropped 0.7 percent to 13,335 points.
* The index rose 1.1 percent to 6,639 points.
* The index edged up 0.1 percent to 1,317 points.
The index rose 0.2 percent to 5,098 points. (Editing by Susan Thomas)