* Graphic: sterling and gilt yields http://bit.ly/2dgAXn1
* Graphic: World FX rates in 2017 http://tmsnrt.rs/2egbfVh
* Graphic: Trade-weighted sterling since Brexit vote http://tmsnrt.rs/2hwV9Hv
LONDON, Jan 15 (Reuters) - Sterling surged above $1.38 for the first time since the results of Britain's vote to leave the European Union on Monday, as the dollar weakened broadly and on hopes that other EU members would seek a relatively "soft" Brexit.
The pound posted its biggest jump in four months against the dollar on Friday, on a media report that the Netherlands and Spain were open to a deal for Britain to remain as close as possible to the trading bloc crushed short positions.
Officials from those countries later denied the report. But market-watchers say the dialogue around Britain's exit from the bloc has in general turned more positive for Britain.
"Up to now the remaining EU countries have presented a fairly uniform front of trying to make things as hard as possible for Britain," said ACLS Global chief strategist Marshall Gittler.
"If it turns out that they do try to negotiate a 'win-win' solution for Britain, it could help the pound a lot," he said, highlighting a report by Bloomberg that Luxembourg's prime minister had called for "pragmatism" and wanted "to limit the negative impact for both sides".
Some analysts said German Chancellor Angela Merkel's breakthrough last week in talks to form a grand coalition in government had helped the pound, as Merkel is seen by markets as an ally of Britain's and someone who would pursue a mutually beneficial trade deal.
Sterling traded as high as $1.3819 on Monday, up 0.6 percent on the day and marking a climb of almost 4 U.S. cents since Thursday.
The pound was 0.1 percent down against a euro that was trading at three-year highs, with the pound changing hands at 88.89 pence per euro.
After slumping in 2016, the pound last year had its best performance in a decade as Britain made some progress on negotiating its exit from the European Union and economic data came in better than expected.
The latest positioning data shows long sterling bets have become bigger in recent days, with net sterling long bets rising to their biggest since mid-September 2014.
"We see the case for Cable (sterling/dollar) to continue in a bullish mood, however in a more relaxed manner," wrote IronFX strategists in a note to clients.
Tuesday will offer a stern test for sterling bulls with consumer price inflation data. Expectations are for a 3 percent rise in prices for December according to Reuters forecasts; any undershoot would kick sterling lower.
(Reporting by Jemima Kelly and Saikat Chatterjee; Editing by Ralph Boulton)