* Dollar index nudged off 2-week highs
* U.S. yields fall as post-G20 optimism ebbs, British yields slide
* Graphic: World FX rates in 2019 http://tmsnrt.rs/2egbfVh
By Shinichi Saoshiro
TOKYO, July 3 (Reuters) - The dollar struggled on Wednesday, having been nudged off two-week highs as fading optimism over any near-term Sino-U.S. trade deal revived safe-haven demand and drove U.S. yields down.
U.S. bond yields also tracked a decline in their British counterparts to 2-1/2-year lows on dovish-sounding comments from Bank of England Governor Mark Carney, which in turn weighed on the pound.
The dollar index .DXY against a basket of six major currencies stood at 96.742 after pulling back from 96.875 scaled on Tuesday, its highest since June 20.
The pound was steady at $1.2597 GBP=D4 after shedding 0.35% the previous day, when it touched a two-week trough of $1.2584.
BoE's Carney said on Tuesday that a global trade war and a no-deal Brexit were growing risks to Britain's economy which might need more help to cope with a downturn, prompting investors to increase their bets on central bank easing. dollar traded at 107.83 yen JPY= , having been nudged off a 12-day high of 108.535 scaled at the start of the week.
"The dollar fell below 108.00 yen again in light of BoE Governor Carney's dovish comments, which helped depress global bond yields," said Shinichiro Kadota, senior strategist at Barclays (LON:BARC) in Tokyo.
"Yields declined as the BoE, up until now, was seen as the only central bank which was not as dovish as others."
The euro was little changed at $1.1291 EUR= following a volatile session on Tuesday, when it swung between a low of $1.1275 and a high of $1.1322.
The common currency had received a lift after a media report that European Central Bank policymakers are in no rush to cut interest rates at a July policy meeting. But it later slipped after IMF managing director Christine Lagarde, perceived as a policy dove, was nominated as the next ECB president.
The Australian dollar AUD=D4 was flat at $0.6992 after gaining about 0.4% the previous day. The Aussie had gained after the Reserve Bank of Australian cut interest rates but offered a more balanced outlook. 10-year U.S. Treasury yield US10YT=RR extended an overnight fall and brushed a fresh 2-1/2-year low of 1.965%.
At the G20 summit in Japan last weekend, Washington and Beijing agreed to restart trade talks after U.S. President Donald Trump offered concessions.
But investors were wary about the chances of a resolution to the year-long trade war between the world's two biggest economies, especially given the recent breakdown in talks and Trump's comments that any deal would have to be tilted in U.S.'s favour. was also dented by Washington's threat of tariffs on $4 billion of additional European Union goods in a long-running dispute over aircraft subsidies. by Shri Navaratnam)