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Trump says Iran meeting set in Qatar, despite uncertainty
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Paraguay shock Germany as Brazil, Morocco advance at World Cup
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Morocco down Netherlands to reach World Cup last 16
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NASA robot mission aiming to rescue space telescope
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Asian stocks unable to track Wall St higher, yen holds at 40-year low
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Mouse-that-roared Paraguay savors World Cup win over Germany
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'We came from nothing': DR Congo dreams of England World Cup upset
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Taiwan's ageing seaweed harvesters hope younger women wade in
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Peruvian political heir Fujimori wins presidency
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Key Venezuela port opens with US aid, as burials begin
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What to expect as EU small parcel levy kicks in
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Ambitious Japan search for answers after World Cup exit
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Nagelsmann says won't 'run away' after Germany World Cup exit
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How NATO will try to keep Trump happy at Ankara summit
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Paraguay coach salutes 'extraordinary' World Cup win over Germany
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Ultra-wealthy Chinese exile in New York sentenced to 30 years for fraud
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Japan fans stunned as Brazil end their World Cup dream
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Years on, families bury 68 Indigenous victims of Guatemala civil war
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'Powerhouse' Haaland leads by example at World Cup: Norway coach Solbakken
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'Deliberate' Monaco explosion wounds Ukrainian oligarch
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Sadness and joy as breakaway Catholic group nears schism
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Paraguay shock Germany, Brazil advance at World Cup
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Germany dumped out by Paraguay in seismic World Cup shock
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'I recognized her ring': identifying Venezuela's dead in a makeshift morgue
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More than 1,000 drones detected since start of World Cup: FBI
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Tuchel defensive headache as England ready for DR Congo clash
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Extreme heat warning issued for World Cup host Kansas City
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US reopens Venezuela port as quake deaths top 1,700
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Bloodied but unbowed: Sinner, Djokovic survive Wimbledon scares
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Coach says Japan getting closer to World Cup glory despite defeat
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Djokovic battles past Wu in 'challenging' Wimbledon first round
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NBA Grizzlies deal Morant to Portland: report
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World Bank drops climate finance targets in renewed action plan
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Sweden ready for 'game of our lives' in France World Cup clash
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Ancelotti says never doubted 'suffering' Brazil would score
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MLS Chicago Fire announce signing of Poland's Lewandowski
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Venezuela's quake-hit La Guaira port 'operational': US military
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Tech rebound lifts Dow to record, yen hits 40-year low against dollar
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Martinelli late show as Brazil down Japan to reach World Cup last 16
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US Supreme Court rules on dragnet searches of cellphone location data
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Madueke says he can be England's World Cup game-changer
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South Korea fans target coach Hong with boos as World Cup squad returns
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Switzerland returns famed Benin Bronzes to Nigeria
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Vaughan calls for England change after Stokes bows out with defeat
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Last-gasp Brazil down Japan to reach World Cup 16
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Europe's deadly heatwave scorches east, Slovakia hits record
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Spain confident despite World Cup injury setbacks, says Llorente
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French Open champ Andreeva sails into Wimbledon second round
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Martinelli scores in 95th minute to send Brazil into World Cup last 16
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Shooter in custody dispute kills six at German family shelter
Equities rebound to track Wall St up as China cuts rates
Most markets rose Tuesday as risk appetite returned following the previous day's US rating-fuelled losses, with sentiment also boosted after China cut interest rates to historic lows.
The rally tracked advances on Wall Street, where the initial selloff sparked by Moody's removal of Washington's triple-A grade soon gave way to a push back into beaten-down equities amid hopes about US trade talks.
After Donald Trump's April 2 tariff blitz sowed global turmoil, the deal between China and the United States last week -- which slashed eye-watering tit-for-tat levies -- has re-energised dealers and pushed most markets back to levels before the US president's "Liberation Day" duties.
Trump suspended his harshest measures for 90 days until mid-July, and while few solid agreements have been reached so far there is optimism that the worst of the crisis has passed.
Traders are also hoping the Federal Reserve will cut interest rates this year, with two reductions expected, according to Bloomberg News.
However, two central bank officials remained cautious about when to resume their monetary easing, amid worries that the tariffs and possible tax cuts will reignite inflation.
New York Fed boss John Williams indicated decision-makers might not be able to move before September, while the central bank's vice chairman Philip Jefferson urged patience, adding that it was crucial to make sure any price increases do not become entrenched.
Hong Kong stocks rose more than one percent, while Shanghai, Tokyo, Sydney, Singapore, Taipei, Bangkok, Wellington and Jakarta were all up.
London, Paris and Frankfurt also opened on the front foot.
However, Neil Wilson at Saxo markets warned that traders were not yet out of the woods as US Treasury yields remain elevated.
"Markets are clearly perturbed by ongoing trade uncertainty, economic policy uncertainty and the potential to lock in sweeping tax cuts in the US, undermining the fiscal position further," he wrote in a commentary.
"The question now is what policy moves can be engineered to tame yields, which could be a worry for equity markets."
The gains came as China's central bank cut two key interest rates as officials battle to kickstart the economy, which faces persistent headwinds from a long-term domestic spending slump, a protracted debt crisis in the property sector and high youth unemployment.
The People's Bank of China lowered its one-year Loan Prime Rate, the benchmark for the most advantageous rates lenders can offer to businesses and households, to 3.0 percent from 3.1 percent.
The five-year LPR, the benchmark for mortgage loans, was cut to 3.5 percent to 3.6 percent.
Both rates were last cut in October to what were then record lows.
"The rate cuts will reduce interest payments on existing loans, taking some pressure off indebted firms. It will also reduce the price of new loans," Zichun Huang, China economist at Capital Economics, said in a note.
However, she added that "modest rate cuts alone are unlikely to meaningfully boost loan demand or wider economic activity".
The "reductions... probably won't be the last this year", she said.
The move came a day after data showed Chinese retail sales came in below expectations in April, highlighting a continued lack of confidence among consumers.
In Hong Kong, Chinese battery giant CATL soared more than 18 percent on its debut, having raised US$4.6 billion in the world's biggest initial public offering this year.
The firm, which produces more than a third of all electric vehicle batteries sold worldwide, saw strong demand even after it was designated as a "Chinese military company" on a US list in January.
The US House Select Committee on the Chinese Communist Party even highlighted this inclusion in letters to two US banks in April, urging them to withdraw from the IPO deal with the "Chinese military-linked company".
But the two banks -- JPMorgan and Bank of America -- are still onboard.
- Key figures at around 0715 GMT -
Tokyo - Nikkei 225: UP 0.1 percent at 37,529.44 (close)
Hong Kong - Hang Seng Index: UP 1.4 percent at 23,658.90
Shanghai - Composite: UP 0.4 percent at 3,380.48 (close)
London - FTSE 100: UP 0.3 percent at 8,720.81
Euro/dollar: UP at $1.1265 from $1.1244 on Monday
Pound/dollar: UP at $1.3379 from $1.3360
Dollar/yen: DOWN at 144.41 yen from 144.87 yen
Euro/pound: UP at 84.20 pence from 84.14 pence
West Texas Intermediate: UP 0.1 percent at $62.72 per barrel
Brent North Sea Crude: DOWN 0.1 percent at $65.57 per barrel
New York - Dow: UP 0.3 percent at 42,792.07 (close)
N.Walker--AT