(For a Reuters live blog on U.S., UK and European stock markets, click LIVE/ or type LIVE/ in a news window) June 28 (Reuters) - European shares held just below record highs on Monday as investors remained worried that a jump in inflation could spark a sudden tapering of ultra-loose global monetary policy, while travel stocks sank on a spike in COVID-19 cases across Asia. The pan-European STOXX 600 was down 0.1% by 0709 GMT, with travel-related stocks TUI, Ryanair Holdings and IAG among the biggest decliners. The benchmark European STOXX 600 tumbled from record highs just over a week ago as a surprisingly hawkish stance from the U.S. Federal Reserve roiled global equity markets. Although the index recovered to post gains of 1.2% last week, it has so far been unable to cross its all-time closing high hit on June 16. Banks, industrials and mining stocks were down between 0.3% and 0.5% after leading gains last week. In company news, Burberry Group shares tumbled 5.1% to the bottom of the STOXX 600 as it said Chief Executive Officer Marco Gobbetti was resigning. Italian luxury group Salvatore Ferragamo, meanwhile, jumped 2.9% after saying it had named Gobbetti as its new CEO. (Reporting by Sagarika Jaisinghani in Bengaluru; Editing by Shounak Dasgupta) Our Standards: The Thomson Reuters Trust Principles.