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May 11 (Reuters) - Wall Street futures were subdued on Monday, taking a breather after a record rally last week, as investors fretted over signs of stalled talks between the United States and Iran that pushed oil prices higher.

U.S. President Donald Trump's swift rejection of Iran's response to a U.S. peace proposal sent crude LCOc1, CLc1 surging almost 3%, stoking worries that the 10-week-old conflict could drag on and keep shipping through the Strait of Hormuz paralyzed.

U.S. stocks touched fresh peaks last week, with the S&P 500 .SPX and the Nasdaq .IXIC both closing at record highs on Friday, buoyed by upbeat corporate earnings, a solid monthly payrolls report and neither U.S. not Iran seeking escalation in the war.

At 05:44 a.m. ET, Dow E-minis YMcv1 were up 9 points, or 0.02%, S&P 500 E-minis EScv1 were up 0.25 points, or 0%, and Nasdaq 100 E-minis NQcv1 were up 8.25 points, or 0.03%.

Investors will now look to Tuesday's consumer price index data, which is expected to show inflation ticked higher in April as the Middle East conflict puts upward pressure on energy prices.

While the U.S.' status as a net oil exporter is expected to provide some buffer, concerns about the conflict's impact on consumer demand and companies still linger. Producer prices and monthly retail sales figures are also due later in the week.

Also on the radar is a meeting between Trump and Chinese President Xi Jinping later this week, when the two leaders are set to discuss Iran, Taiwan, artificial intelligence and nuclear weapons, while also weighing an extension of a critical minerals deal, according to U.S. officials previewing Trump's two-day visit to China this week.

The first-quarter reporting season will soon start winding down, after a much stronger-than-expected performance from companies, particularly in the technology sector, helped push stocks to new highs.

Major names this week include tech networking giant Cisco CSCO.O and semiconductor equipment maker Applied Materials AMAT.O, while heavyweight names Nvidia NVDA.O and Walmart WMT.O are due to report later in the month.

Among Monday's movers, some airline stocks slipped in premarket trading as rising oil prices threatened to squeeze margins. Southwest Airlines LUV.N, Delta Air Lines DAL.N and United Airlines UAL.O fell between 0.6% and 1.3%.

U.S.-listed shares of gold miners slipped as bullion prices XAU= declined 1%. Newmont NEM.N slipped 1.8%, Sibanye Stillwater SBSW.N lost 2.4% and Harmony Gold HMY.N shed 2.2%.