* Pound back under pressure after Friday slide

* Prospect of softer Brexit offsets economic, political worries

* Dollar dips ahead of Fed meeting, rate rise fully priced

* BOJ follows on Thursday

* Graphic: World FX rates in 2017 http://tmsnrt.rs/2egbfVh

By Patrick Graham

LONDON, June 12 (Reuters) - The dollar dipped on Monday on the run-in to Wednesday's decision on U.S. interest rates, while Britain’s pound was back under pressure after an almost 2-cent fall following elections that threw Europe’s second-largest economy into political chaos.

The week was set to be dominated by a series of central bank meetings and UK Prime Minister Theresa May's efforts to form a workable administration after losing her majority on Friday.

With a fourth rise in U.S. rates in 18 months now fully priced-in for Wednesday, Bank of America Merrill Lynch's head of G10 currency strategy, Athanasios Vamvakidis, pointed to the chance of a weaker greenback after the meeting.

But he also warned that the Bank of Japan a day later might spark some more retracement of the yen's 4-percent gain since mid-May.

"The hike by the Fed is fully priced but the language will be dovish," Vamvakidis said.

"What will be interesting will be the BOJ - there have been headlines that the BOJ has been discussing an exit from emergency stimulus. They may well want to bite back against that (and) the yen has come a long way in the past few weeks."

The dollar was marginally lower at 110.21 yen, having retreated from Friday's one-week high of 110.815 yen. Against the euro it dipped a quarter percent to $1.1222, compared to a seven-month low of $1.1285 set in early June.

As May scrambles to pick up the pieces and reunite her Conservative Party before Brexit negotiations due to start next week, the economic signs for the pound continue to worsen.

Figures from credit card firm Visa showed British consumers cut their spending for the first time in nearly four years last month, as households turned more cautious even before the shock election result.

Against that is the hope of a softer approach to the Brexit talks that Friday's election results have engendered in markets.

Worries that the process would take Britain out of the lucrative European single market have left the pound around 20 cents weaker than when Britain voted to leave the European Union a year ago.

"Based on parliament as it stands, Theresa May would be able to approve a soft Brexit but not a hard one," said Vamvakidis.

Sterling last traded at $1.2726, down 0.1 percent on the day, after sliding 1.7 percent on Friday, its biggest one-day drop in around eight months.