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* U.S. futures point to a firmer open
* China's yuan on track for worst month since 1994
* U.S., China to have face-to-face trade talk in Sept
* Dollar index climbs to one month high
* Gold, silver off recent highs
* FACTBOX-Month of bond market milestones:
LONDON, Aug 30 (Reuters) - World stocks rose to a one-week high on cautious hopes for a rapprochement on trade between Beijing and Washington on Friday, though a perky dollar capped gains with China's yuan softening again, on track for its weakest month in 2-1/2 decades.
For most of August global stocks have reeled and fixed income shone as deepening concerns over global trade and clear signs of a slowdown, possibly even a recession, in the global economy loomed large over financial markets.
But the mood lifted after U.S. President Donald Trump said some trade discussions were taking place with China on Thursday, with more talks scheduled. China's commerce ministry also said a September round of meetings was being discussed by the two sides, but added it was important for Washington to cancel a tariff increase.
The MSCI All-Country World Index climbed 0.3% but is on track for a near 3% decline in August - only the second month the benchmark has spent in the red this year. It is the weakest August for the index since 2015.
European stocks on Friday extended the previous session's gains, with the pan-European STOXX 600 index up 0.3% to trade at a fresh one-month high.
"The trade war seesaw has certainly moved back in favour of riskier assets for now, with Trump and China supposedly holding a call yesterday," said Deutsche Bank strategist Jim Reid.
Gains were helped by a surge in German real estate firms which saw the country's DAX index add 0.7%.
The picture was more mixed in Asia, where Chinese and Hong Kong stock markets dipped in and out of the red . Arrests or detentions of pro-democracy activists in Hong Kong added to investor jitters, with the Chinese-ruled territory facing its first recession in a decade.
Japan's Nikkei added 1.2%, while South Korea's KOSPI jumped 1.8%.
U.S. futures pointed to a firmer start to the day's trade, with E-Minis for the S&P500 up 0.3% after more than 1% gain on Wall Street overnight.
Fixed income markets took a breather on Friday, at the end of a stellar month that has seen prices rally and borrowing costs push deeper and deeper into negative territory.
U.S. Treasury yields nudged higher overnight, with the benchmark 10-year Treasury climbing to 1.5349% from a three-year low of 1.443% touched earlier this week.
It was still below two-year yields at 1.5419%. Such an inversion was last seen in 2007 and correctly foretold the great recession that followed a year later.
Euro zone government bond yields were steady near record lows as data showed the bloc's inflation remained low at 1.0% in August, well below the European Central Bank's target and bolstering expectations for European Central Bank stimulus in September.
Germany is considering lowering its corporate tax rate, while the U.S. government is thinking about issuing 50- and 100-year bonds in a bid to steepen the yield curve.
Recent economic data has also pointed to a global growth slowdown with business investment, manufacturing activity and exports all going south across major economies.
Investors were focused on a string of economic releases due over the weekend including China's official manufacturing survey, which would provide a good gauge of the real impact from the Sino-U.S. trade war.
In currency markets, the dollar nudged to a one month high of 98.609 against a basket of six major currencies.
Yet the trade optimism failed to inspire China's yuan, which resumed its decline with spot yuan at 7.1462 against the dollar. The currency is on track for its weakest month since Beijing's currency reform in 1994 after it broke through the key 7 to the dollar level earlier in August.
"The yuan move back to 7 and beyond has been a distinct possibility for months. It is clearly down due to the tariffs," said Neil Mellor, senior FX strategist at BNY Mellon in London.
"It does help them to some extent to absorb the tariff costs - it is one of the few options they have. The fiscal option is limited after years of excess, and the monetary stimulus has already been unprecedented this year."
The Australian dollar, often seen as a proxy bet on the Chinese economy, slipped towards a 10-year trough.
Elsewhere, the euro plunged to a one-month low against the dollar, as investors looked for aggressive easing by the European Central Bank and ignored doubts by some policymakers about the need for more stimulus.
The Japanese yen stood at 106.40 to the dollar, while the euro was 0.2% down at $1.10395.
Sterling was steady at $1.2182 against the dollar ahead of a crucial few days for parliament next week which could even result in a no-confidence motion and a new election.
In commodities, spot gold came off recent highs to trade at $1,526 an ounce. Silver was at $18.37 an ounce after hitting its highest level in more than two years.
U.S. crude slipped 57 cents to $56.14 a barrel while Brent fell 30 cents to $60.78 a barrel.
(Reporting by Karin Strohecker; Additional reporting by Saikat Chatterjee and Josephine Mason in London, Swati Pandey in Sydney; Editing by Shri Navaratnam and Hugh Lawson)