MEXICO CITY, May 27 (Reuters) - The Trump administration's trade agency said on Wednesday that it will kick off the first of three negotiating rounds with Mexico this week to revamp the North American trade agreement, but made no mention of any talks with Canada.

The U.S. Trade Representative's office said in a statement that Deputy U.S. Trade Representative Jeffrey Goettman will lead bilateral talks in Mexico City on Thursday and Friday focused on "economic security and rules of origin for key industrial goods."

USTR said that the U.S. and Mexico will hold a second negotiating round in Washington on June 16-17 focused on agriculture and "a level playing field" with a third set of talks in Mexico City the week of July 20.