* FTSE 100, FTSE 250 down 0.1%
* Markets subdued as Fed tempers rate cut hopes
* Oil majors offset broad falls
* Small-cap RPS sinks after warning on FY results
* Bonmarche tanks after accepting discounted offer (Adds news items, analyst comment, updates share prices)
June 26 (Reuters) - London's main index dipped slightly on Wednesday as broad losses in equities after the U.S. Federal Reserve tapered expectations of interest rate cuts were cushioned by solid gains in heavyweight oil stocks, fueled by higher crude prices.
The FTSE 100 and the mid-cap FTSE 250 both tipped 0.1% lower by 0748 GMT.
Losses on the main index were spread across the board, but a handful of companies were in the black. Oil majors helped the index outperform its European peers as a decline in U.S. crude stockpiles and U.S.-Iran worries supported prices.
After raising hopes of fresh stimulus last week, the Fed on Tuesday tempered its tone of monetary easing at its next meeting, lifting the dollar from a three-month low, but disappointing investors who have been betting on a more relaxed policy.
Fed Chairman Jerome Powell reined in expectations of aggressive rate cuts, while his St Louis colleague James Bullard said he does not think the U.S. economic situation warrants easing rates.
"Some have suggested that Powell's comments left the markets none the wiser as to whether the Fed will embark on a new easing cycle next month, but surely that's entirely the point," CMC Markets analyst Michael Hewson said.
The greenback's strength weighed on gold prices, pushing precious metals miner Fresnillo down 2.6% to the bottom of the blue-chip index.
Bets that the Fed would ease policy have put the FTSE 100 on course for its best month since January, counteracting effects of U.S. sanctions on Iran and uncertainty ahead of President Donald Trump's meeting with Xi Jinping.
"The market has baked in rate cuts that the Fed is yet to see as completely necessary," Markets.com analyst Neil Wilson said.
Internationally exposed stocks were unable to cash in, however, as broader sentiment remained downbeat.
On the mid-cap index, engineering and oilfield services provider Wood Group climbed 6.4% on track for its best day in seven months after it forecast higher half-year operating profit.
Among small-cap stocks, professional services company RPS plummeted 35% to a more than 10-1/2 year low after warning of "materially" lower annual results.
Women's fashion retailer Bonmarche tanked 26% after it backed a 11.445 pence per share buyout offer from businessman Philip Day's firm Spectre Holdings, which was at a 28% discount to the stock's close on Tuesday. (Reporting by Shashwat Awasthi in Bengaluru; Editing by Bernard Orr)