WASHINGTON, Sept 20 (Reuters) - U.S. Trade Representative Katherine Tai and her new British counterpart agreed to continue U.S.-UK discussions aimed at addressing the market-distorting practices of China and other non-market economies, Tai"s office said on Monday. Tai, meeting virtually with UK Trade secretary Anne-Marie Trevelyan, "emphasized her commitment to deepening bilateral trade and investment ties" between the allied countries, USTR said. She discussed USTR"s ongoing review of past U.S.-UK trade agreement talks, but the statement gave no indication of a path forward.