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No breakthrough at 'constructive' Ukraine-US talks
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Bielle-Biarrey double helps Bordeaux-Begles open Champions Cup defence with Bulls win
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Verstappen looking for a slice of luck to claim fifth title
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Kane cameo hat-trick as Bayern blast past Stuttgart
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King Kohli says 'free in mind' after stellar ODI show
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Arsenal rocked by Aston Villa, Man City cut gap to two points
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Crestfallen Hamilton hits new low with Q1 exit
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Sleepless in Abu Dhabi - nervy times for Norris says Rosberg
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Arsenal will bounce back from Villa blow: Arteta
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UN Security Council delegation urges all sides to stick to Lebanon truce
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Verstappen outguns McLarens to take key pole in Abu Dhabi
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Syria's Kurds hail 'positive impact' of Turkey peace talks
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Verstappen takes pole position for season-ending Abu Dhabi GP
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Jaiswal hits ton as India thrash S. Africa to clinch ODI series
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UK's Farage rallies in Scottish town hit by immigration protests
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Saracens kick off European campaign by crushing Clermont
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Arsenal rocked by Villa as Buendia ends leaders' unbeaten run
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Venezuela's Machado vows to make Nobel Peace Prize ceremony
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Kidnapping fears strain family bonds in Nigeria
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'Chosen' Mbappe on way to making Real Madrid history like Ronaldo: Alonso
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Russian strikes on Ukraine trigger heating, water cuts
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Mediators Qatar, Egypt call for next steps in Gaza truce
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Olympic favourite Malinin pulls off stunning GP Final win
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Venezuela's Machado to receive peace prize in Oslo: Nobel Institute
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Russell tops practice times to outpace title-chasing trio
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India bowl out South Africa for 270 after De Kock ton
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England staring down the barrel under Gabba lights as Australia dominate
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Egyptian actor faces challenge in iconic role of singer Umm Kulthum
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Chock and Bates win Grand Prix Final ice dance
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Starvation fears as flood toll passes 900 in Indonesia
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Four civilians, soldier killed in Afghan-Pakistan border clash
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Milan-Cortina chief admits venue time pinch as Olympic torch relay begins
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England make quick start after Australia take big lead at Gabba
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Finally! India break toss jinx as Rahul gets lucky
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Will EU give ground on 2035 combustion-engine ban?
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England nemesis Starc stretches Australia lead in Gabba Ashes Test
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Banana skin 'double whammy' derails McIlroy at Australian Open
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Epic Greaves double ton earns West Indies draw in first NZ Test
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Thunder roll to 14th straight NBA win, Celtics beat depleted Lakers
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Myanmar citizens head to early polls in Bangkok
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Starvation fears as more heavy rain threaten flood-ruined Indonesia
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Sri Lanka unveils cyclone aid plan as rains persist
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Avatar 3 aims to become end-of-year blockbuster
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Contenders plot path to 2026 World Cup glory after Trump steals show at draw
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Greaves leads dramatic West Indies run chase in NZ Test nail-biter
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World record-holders Walsh, Smith grab wins at US Open
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Ukraine, US to meet for third day, agree 'real progress' depends on Russia
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Double wicket strike as New Zealand eye victory over West Indies
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Peace medal and YMCA: Trump steals the show at World Cup draw
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NBA legend Jordan in court as NASCAR anti-trust case begins
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Stocks rise on China-US hopes, Japan's new PM lifts Tokyo
Most stock markets extended gains Tuesday on further signs that China-US trade tensions were easing and as investors looked to corporate earnings.
Tokyo hit another record as Japan swore in new prime minister Sanae Takaichi and brought an end to a period of political uncertainty.
On Wall Street the Dow and S&P 500 nudged higher, while the tech-heavy Nasdaq dipped as more companies reported their earnings.
"The overarching point this morning is that the earnings news for the September quarter continues to be better than expected, and, most importantly, the guidance has been generally reassuring," said Briefing.com analyst Patrick O'Hare.
"The fact that the market isn't as expressive about those points this morning as one might expect is due mostly to that reality having been priced in to a large degree already."
Shares in General Motors raced 8.6 percent higher at the opening bell after the automaker reported better-than-expected profits and boosted some full-year projections based on lower tariff costs.
Europe's main markets were higher in afternoon trading, tracking gains in Asia where Hong Kong and Shanghai closed up more than one percent.
"Wall Street enjoyed a particularly strong session on Monday, and that optimism has extended to Asia and Europe," said Russ Mould, investment director at AJ Bell.
"The focus is now on US interest rate cuts, the new corporate reporting season, and US-China trade talks."
Investors will look to US inflation figures due Friday for further signals about the pace of the rate cuts.
Investors were back in a buying mood after last week's ructions sparked by Donald Trump's threat to hammer China with 100-percent tariffs over its latest rare earth export controls.
The US president has since struck a more conciliatory tone ahead of a meeting with Chinese counterpart Xi Jinping at the APEC summit in South Korea.
He said he wanted a "fair" trade deal between the superpowers and praised his relationship with Xi.
Trump also played down fears of a Chinese invasion of Taiwan, saying: "I think we'll be just fine with China. China doesn't want to do that."
The remarks followed other positive comments at the weekend and helped push Wall Street higher on Monday, as the tech-led rally resumed.
In Japan, the yen weakened after Takaichi was appointed prime minister, which raised expectations for a slower pace of interest rate rises.
"Takaichi is expected to cut taxes and boost defence spending, she is also not a fan of interest rate hikes," said Kathleen Brooks, research director at XTB trading group.
The pound fell against the dollar on official data showing UK public borrowing reached a five-year high in September.
- Key figures at around 1330 GMT -
New York - Dow: UP 0.1 percent at 46,764.35 points
New York - S&P 500: UP less than 0.1 percent at 6,736.94
New York - Nasdaq Composite: DOWN less than 0.1 percent at 22,974.68
London - FTSE 100: UP 0.3 percent at 9,430.33
Paris - CAC 40: UP 0.5 percent at 8,243.19
Frankfurt - DAX: UP less than 0.1 percent at 24,278.77
Tokyo - Nikkei 225: UP 0.3 percent at 49,316.06 (close)
Hong Kong - Hang Seng Index: UP 0.7 percent at 26,027.55 (close)
Shanghai - Composite: UP 1.4 percent at 3,916.33 (close)
Euro/dollar: DOWN at $1.1610 from $1.1641 on Monday
Pound/dollar: DOWN at $1.3382 from $1.3409
Dollar/yen: UP at 151.82 yen from 150.73 yen
Euro/pound: DOWN at 86.77 percent from 86.82 pence
Brent North Sea Crude: UP 0.1 percent at $61.09 per barrel
West Texas Intermediate: UP less than 0.1 percent at $57.07 per barrel
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W.Lapointe--BTB